Q: What are the prime factors of the number 31,001,536?

 A: 2, 149, 3251

Why are those the prime factors of the number 31,001,536?

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 31,001,536

31,001,536
Factor Arrows
215,500,768
Factor Arrows
27,750,384
Factor Arrows
23,875,192
Factor Arrows
21,937,596
Factor Arrows
2968,798
Factor Arrows
2484,399
Factor Arrows
1493,251

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, 149, 3251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 149 x 3,251 = 31,001,536

This can also be written as 26 x 1491 x 3,2511 = 31,001,536

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


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