How many divisors has 600?

Answer 1

600 has 24 divisors (factors).

To find the number of factors, write a number in prime factorisation in power format and then multiply the indices (of the primes) plus one together:

600 = 23 x 31 x 52

⇒ number of factors = (3 + 1) x (1 + 1) x (2 + 1)

= 4 x 2 x 3

= 24

Just for interest, the 24 factors are:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600