2^2*3^2*5^2 = 900
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You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
It is: 22*32*52 = 900
Exponents just count how many times each factor is used. 900 450,2 225,2,2 75,3,2,2 25,3,3,2,2 5,5,3,3,2,2 2 x 2 x 3 x 3 x 5 x 5 = 900 2^2 x 3^2 x 5^2 = 900
√900 = 30 30 = 2 x 3 x 5
2^2 x 3^2 x 5^2 = 900