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1000 prime factorization

What is the prime factorization of 1000?

Find the prime factorization of 1000

1000 is divisible by 25:

1000 ÷ 25 = 40

Neither 25 nor 40 are prime numbers.

See Prime numbers 1 through 50.

The prime factorization of 25 is

25 = 5 * 5

See 25 prime factorization.

The prime factorization of 40 is

40 =
2 * 2 * 2 * 5

See 40 prime factorization.

Therefore, the prime factorization of 1000 is

1000 =
2 * 2 * 2 * 5 * 5 * 5

The prime factorization of 1000 using exponents

1000 =
23 * 53

So, the prime factors of 1000 are

2, 2, 2, 5, 5, 5