Find the number of divisors of 504?

Sure, to find the number of divisors of 504, we first need to find its prime factorization.

Step 1: Prime factorization of 504 504 can be factored into 2^3 * 3^2 * 7^1.

Step 2: Find the number of divisors The number of divisors of a number is found by adding 1 to each of the exponents in its prime factorization and then multiplying those results together.

So, for 504, we add 1 to each of the exponents in its prime factorization: 2^3 becomes 3 + 1 = 4 3^2 becomes 2 + 1 = 3 7^1 becomes 1 + 1 = 2

Step 3: Multiply the results Then we multiply these results together: 4 * 3 * 2 = 24.

So, 504 has 24 divisors.