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write the prime factorization of 625
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Prime numbers don't factorize; they're already prime.
To write prime numbers in multiplication form, you simply list them as factors multiplied together. For example, the prime factorization of 12 is 2 x 2 x 3, as 2 and 3 are prime numbers. Likewise, the prime factorization of 20 is 2 x 2 x 5.
The prime factorization of 44 is 2 x 2 x 11 or, in index form (in other words, using exponents), 22x11