Prime Factorization
Milo and Cooper are trying to run the same number of yards in their big playoff football game. Milo always runs in increments of 7 yards. Cooper always runs in increments of 8 yards. What is the first distance they would both reach that is the same as each other? Show your work.
56
Write the prime factorization of 120. Include a factor tree.
2 x 2 x 2 x 3 x 5
or
23 x 3 x 5
What is the GCF of 8 and 14? Show your work.
2
What is the LCM of 8 and 14? Show your work.
56
Kayli and Clara bought their gymnastics team hair ribbons and cookies to put in gift bags to celebrate an awesome season. They want to make as many gift bags as possible with no leftovers. Kayli bought 60 hair ribbons and Clara bought 40 cookies. If they want each bag to have an equal amount of ribbons and an equal amount of cookies, what is the greatest number of bags they can put together? Show your work.
20
Write the prime factorization of 85. Include a factor tree.
5 x 17
What is the GCF of 44 and 132? Show your work.
44
What is the LCM of 44 and 132? Show your work.
132
Fans are waiting in line to see world famous musician, Josie K. play her piano and saxophone live in concert. Every 9th fan gets to take a picture with her. Every 12th fan gets an autograph from her. Which fan will be the first to get both a picture and an autograph? Show your work.
36
Liam is throwing a party at his house. He has 75 cupcakes and 100 slices of pizza for his guests. He wants each guest to get the same amount of food. If he serves an equal amount of pizza and an equal amount of cupcakes, with no leftovers, what is the greatest number of people he can invite? Show your work.
25