√900 = 30
30 = 2 x 3 x 5
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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
2^2*3^2*5^2 = 900
Take the square root of 800, and the square root of 900. Look for an integer between the two.
It is: 22*32*52 = 900
2^2 x 3^2 x 5^2 = 900