Q: What are the prime factors of the number 31,240,244?

 A: 2, 7, 159389

Why are those the prime factors of the number 31,240,244?

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 31,240,244

31,240,244
Factor Arrows
215,620,122
Factor Arrows
27,810,061
Factor Arrows
71,115,723
Factor Arrows
7159,389

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, 159389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 159,389 = 31,240,244

This can also be written as 22 x 72 x 159,3891 = 31,240,244

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


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