Q: What are the prime factors of the number 31,422,916?

 A: 2, 7, 37, 619

Why are those the prime factors of the number 31,422,916?

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 31,422,916

31,422,916
Factor Arrows
215,711,458
Factor Arrows
27,855,729
Factor Arrows
71,122,247
Factor Arrows
7160,321
Factor Arrows
722,903
Factor Arrows
37619

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:

2, 7, 37, 619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 37 x 619 = 31,422,916

This can also be written as 22 x 73 x 371 x 6191 = 31,422,916

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


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