Suppose

Question

B
is
10
times larger than
A
. The prime factorization of
B
is
2
9
×
5
. Which represents the prime factorization of
A
?

Answer 1

The prime factorization of A would be 2^4 x 5. This is because B is 10 times larger than A, so its prime factorization would be 2^x x 5 where x is 5 more than the power of 2 in A's prime factorization. In this case, x is 9, so 9 - 5 = 4. Hence, the prime factorization of A is 2^4 x 5.