What is the prime factorization of 1080?

1080 is divisible by 10:

1080 ÷ 10 = 108

See Divisibility criteria for 10.

Neither 10 nor 108 are prime numbers.

See Prime numbers 1 through 200.

The prime factorization of 10 is

10 = 2 * 5

The prime factorization of 108 is

108 =

2 * 2 * 3 * 3 * 3

2 * 2 * 3 * 3 * 3

Therefore, the prime factorization of 1080 is

1080 =

2 * 2 * 2 * 3 * 3 * 3 * 5

2 * 2 * 2 * 3 * 3 * 3 * 5

The prime factorization of 1080 using exponents

1080 =

2^{3} * 3^{3} * 5

2

So, the prime factors of 1080 are

2, 2, 2, 3, 3, 3, 5