# How do you find the prime factorization of 20?

You can separate out each prime factor in turn as follows:

This can be written as a factor tree:

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To find the prime factorization of 20, you start by dividing 20 by the smallest prime number, which is 2.

20 ÷ 2 = 10

Since 10 is still divisible by 2:

10 ÷ 2 = 5

Now, 5 is a prime number, so we stop here.

The prime factorization of 20 is therefore 2 × 2 × 5, or written as powers of primes: 2^2 × 5.

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