Q: What are the prime factors of the number 31,046,757?

 A: 3, 7, 23, 64279

Why are those the prime factors of the number 31,046,757?

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 31,046,757

31,046,757
Factor Arrows
310,348,919
Factor Arrows
71,478,417
Factor Arrows
2364,279

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, 7, 23, 64279

We can check our work by multiplying all of the prime factors together: 3 x 7 x 23 x 64,279 = 31,046,757

This can also be written as 31 x 71 x 231 x 64,2791 = 31,046,757

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


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