Find Greatest Common Factor and Least Common Multiple: CCSS.Math.Content.6.NS.B.4 - 6th Grade Math

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Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 9=9$

$3\times 3=9$

Do not forget to list their reciprocals.

$9\times1=9$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 12=12$

$2\times6=12$

$3\times 4=12$

Do not forget to list their reciprocals.

$4\times 3=12$

$6\times2=12$

$12\times1=12$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 20=20$

$2\times10=20$

$4\times 5=20$

Do not forget to list their reciprocals.

$5\times 4=20$

$10\times2=20$

$20\times1=20$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 16=16$

$2\times8=16$

$4\times 4=16$

Do not forget to list their reciprocals.

$8\times2=16$

$16\times1=16$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 15=15$

$3\times5=15$

Do not forget to list their reciprocals.

$5\times3=15$

$15\times1=15$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 11=11$

Do not forget to list their reciprocals.

$11\times1=11$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 25=25$

$5\times5=25$

Do not forget to list their reciprocals.

$25\times1=25$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 18=18$

$2\times9=18$

$3\times 6=18$

Do not forget to list their reciprocals.

$6\times 3=18$

$9\times 2=18$

$18\times 1=18$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 32=32$

$2\times16=32$

$4\times 8=32$

Do not forget to list their reciprocals.

$8\times 4=32$

$16\times 2=32$

$32\times 1=32$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 14=14$

$2\times7=14$

Do not forget to list their reciprocals.

$7\times 2=14$

$14\times 1=14$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 13=13$

Do not forget to list their reciprocals.

$13\times 1=13$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Sharon purchased pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sharon’s candy.

$1\times 21=21$

$3\times 7=21$

Do not forget to list their reciprocals.

$7\times 3=21$

$21\times1=21$

Sharon can make different treat bag combinations with an even amount of candy in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times7=7$

Do not forget to list their reciprocals.

$7\times1=7$

Jack can make different seed bag combinations with an even number of seeds in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times9=9$

$3\times3=9$

Do not forget to list their reciprocals.

$9\times1=9$

Jack can make different seed bag combinations with an even number of seeds in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an equal number of seeds in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times11=11$

Do not forget to list their reciprocals.

$11\times1=11$

Jack can make different seed bag combinations with an equal number of seeds in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times13=13$

Do not forget to list their reciprocals.

$13\times1=13$

Jack can make different seed bag combinations with an even number of seeds in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times15=15$

$3\times5=15$

Do not forget to list their reciprocals.

$5\times3=15$

$15\times1=15$

Jack can make different seed bag combinations with an even number of seeds in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times17=17$

Do not forget to list their reciprocals.

$17\times1=17$

Jack can make different seed bag combinations with an even number of seeds in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. If he wants to have at least two bags to sell, many different ways can Jack make seed bags with an equal number of seeds in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times18=18$ -- but note that one bag of 18 seeds does not satisfy the condition that he wants to have at least two bags to sell, so this factorization does not count toward the answer.

$2\times9=18$ -- two bags of nine seeds each

$3\times6=18$ -- three bags of six seeds each

Do not forget to list their reciprocals.

$6\times3=18$ -- six bags of three seeds each

$9\times2=18$ -- nine bags of two seeds each

$18\times1=18$ -- eighteen bags of one seed each

Jack can make different seed bag combinations with an equal number of seeds in each bag.

Compare your answer with the correct one above

Question

Jack purchased tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Answer

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times21=21$

$3\times7=21$

Do not forget to list their reciprocals.

$7\times3=21$

$21\times1=21$

Jack can make different seed bag combinations with an even number of seeds in each bag.

Compare your answer with the correct one above

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