Question

How many of the positive divisors of 2160 are multiples of 3?

Answer 1

The positive divisors of 2160 are:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160

Multiples of 3 are:

3, 6, 9, 12, 15, 18, 24, 27, 30, 36, 45, 48, 54, 60, 72, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160

The number of divisors, multiples of 3 is:

• 30