Q: What are the prime factors of the number 31,926,944?

 A: 2, 7, 23, 6197

Why are those the prime factors of the number 31,926,944?

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 31,926,944

31,926,944
Factor Arrows
215,963,472
Factor Arrows
27,981,736
Factor Arrows
23,990,868
Factor Arrows
21,995,434
Factor Arrows
2997,717
Factor Arrows
7142,531
Factor Arrows
236,197

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, 23, 6197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 23 x 6,197 = 31,926,944

This can also be written as 25 x 71 x 231 x 6,1971 = 31,926,944

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


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