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1440 prime factorization

What is the prime factorization of 1440?

Find the prime factorization of 1440

1440 is divisible by 10:

1440 ÷ 10 = 144

See Divisibility criteria for 10.

Neither 10 nor 144 are prime numbers.

See Prime numbers 1 through 200.

The prime factorization of 10 is

10 = 2 * 5

See 10 prime factorization.

The prime factorization of 144 is

144 =
2 * 2 * 2 * 2 * 3 * 3

See 144 prime factorization.

Therefore, the prime factorization of 1440 is

1440 =
2 * 2 * 2 * 2 * 2 * 3 * 3 * 5

The prime factorization of 1440 using exponents

1440 =
25 * 32 * 5

So, the prime factors of 1440 are

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