Factors and Multiples Answers

The prime factorizations of 16 and 24 are shown below.Prime factorization of 16: 2, 2, 2, 2Prime factorization of 24: 2, 2, 2, 3Using the prime factorizations, what is the greatest common factor of 16 and 24?

Micah found the least common multiple of 8 and 12. His work is shown below. Multiples of 8: 8, 12, 16, 20, 24, 28, . . .Multiples of 12: 12, 24, 36, 48, 60, . . .The least common multiple is 12.What is Micah’s error?

What is the least common multiple of 4 and 10?

The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individually. Yesterday, she bought the same number of water bottles as candy bars to sell at the snack bar. If she bought the lowest number of items possible, how many packs of each item did she buy?

On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?