Question

Find the number of factors of 1620.

• A. 15
• B. 20
• C. 30
• D. 10

Answer 1

Answer:

C. 30

1620 = 2^2 × 3^4 × 5^1. Addinng 1 to each of the exponents, we get: 2 + 1 = 3, 4 + 1 = 5, 1 + 1 = 2. The product of all these numbers: 3 × 5 × 2 = 30. Therefore, the number of factors of 1620 is 30.