Q: What are the prime factors of the number 31,023?

 A: 3, 383

Why are those the prime factors of the number 31,023?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 31,023

31,023
Factor Arrows
310,341
Factor Arrows
33,447
Factor Arrows
31,149
Factor Arrows
3383

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 383

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 383 = 31,023

This can also be written as 34 x 3831 = 31,023

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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