Solution:
Recall that to determine the number of positive factors that a number n has, we first prime factorize n and then add 1 to each prime’s exponent. We then calculate the product of those “adjusted” exponents.
First, we prime factorize n:
n = 3^1 x 5^1 x 7^1 x 11^1 x 13^1
We add 1 to each exponent and then find the product of the adjusted exponents. Therefore, n has (1 + 1) x (1 + 1) x (1 + 1) x (1 + 1) x (1 + 1) = 2^5 = 32 factors.
Answer: D
