Q: What are the prime factors of the number 31,670,856?

 A: 2, 3, 7, 47, 191

Why are those the prime factors of the number 31,670,856?

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 31,670,856

31,670,856
Factor Arrows
215,835,428
Factor Arrows
27,917,714
Factor Arrows
23,958,857
Factor Arrows
31,319,619
Factor Arrows
3439,873
Factor Arrows
762,839
Factor Arrows
78,977
Factor Arrows
47191

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, 3, 7, 47, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 7 x 47 x 191 = 31,670,856

This can also be written as 23 x 32 x 72 x 471 x 1911 = 31,670,856

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


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