Q: What are the prime factors of the number 31,021,340?

 A: 2, 5, 7, 221581

Why are those the prime factors of the number 31,021,340?

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 31,021,340

31,021,340
Factor Arrows
215,510,670
Factor Arrows
27,755,335
Factor Arrows
51,551,067
Factor Arrows
7221,581

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, 5, 7, 221581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 221,581 = 31,021,340

This can also be written as 22 x 51 x 71 x 221,5811 = 31,021,340

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


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