A and B represents the numbers of even and odd factors of 120 respectively. Find the ratio between A and B. 5:11:51:33:1

To find the ratio of even and odd factors of 120, we first need to find the prime factorization of 120.

The prime factorization of 120 is 2^3 * 3^1 * 5^1.

The number of factors of a number is determined by adding 1 to each of the exponents in its prime factorization and then multiplying these results together.

For even factors, we consider all prime factors including 2. So, the number of even factors (A) is (3+1)(1+1)(1+1) = 422 = 16.

For odd factors, we only consider the prime factors excluding 2. So, the number of odd factors (B) is (1+1)(1+1) = 22 = 4.

Therefore, the ratio of A to B is 16:4, which simplifies to 4:1. So, the answer is 4:1.