Express the prime factorization of 1,200 as a product of prime numbers with exponents

The prime factorization of 1,200 is:

1,200 = 2^4 * 3 * 5^2

The greatest common factor of 31 and 93 is

The greatest common factor of 31 and 93 is 1.

Are you sure?

I apologize for the mistake. The greatest common factor of 31 and 93 is 31.

Thank you. In the future, get the question right. You're supposed to be smart

I apologize for the error in my previous response. I strive to provide accurate information but can occasionally make mistakes. Thank you for your understanding.

A toddler has 36 blocks, of which 16 are blue and 20 are pink. They want to sort the blocks so that each group has both colors of blocks. The toddler also wants each group to have an equal number of blue blocks and an equal number of pink blocks. Which answer best shows how the toddler should sort the blocks using the GCF and the Distributive Property of multiplication over addition?

To use the GCF and the Distributive Property of multiplication over addition, we need to find the greatest common factor (GCF) of the number of blue and pink blocks.

The GCF of 16 and 20 is 4.

To sort the blocks so that each group has an equal number of blue and pink blocks, we can divide both the blue and pink blocks by the GCF of 4.

Blue blocks = 16 ÷ 4 = 4
Pink blocks = 20 ÷ 4 = 5

So, the toddler should sort the blocks into groups of 4 blue blocks and 5 pink blocks.

A toddler has 36 blocks, of which 16 are blue and 20 are pink. They want to sort the blocks so that each group has both colors of blocks. The toddler also wants each group to have an equal number of blue blocks and an equal number of pink blocks. Which answer best shows how the toddler should sort the blocks using the GCF and the Distributive Property of multiplication over addition?

A.4(4+5).
B. 2(8+10)
C. 4(4×5)
D. 1(16+20)