Prime factorization of 972

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Prime factorization of 972:

By prime factorization of 972 we follow 5 simple steps:
1. We write number 972 above a 2-column table
2. We divide 972 by the smallest possible prime factor
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table

972
prime factorsnumber to factorize
2486
2243
381
327
39
33
31


Prime factorization of 972 = 1×2×2×3×3×3×3×3= $ 1 × 2^2 × 3^5 $

 

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