Q: What is the prim factorization of 58?

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19 is already prime; no factorization.

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Prime Factorization: 2*5*31

No it isn't. 235/5 = 47 and 47 is a prim number. 235 isn't a prime number so it isn't a prim factorization. The real factorization is 47 * 5.

67 is a prime number

144 = 24 × 32

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15,125 = 53 × 112