Q: What are the prime factors of the number 31,531,455?

 A: 3, 5, 71, 139

Why are those the prime factors of the number 31,531,455?

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 31,531,455

31,531,455
Factor Arrows
310,510,485
Factor Arrows
33,503,495
Factor Arrows
5700,699
Factor Arrows
719,869
Factor Arrows
71139

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:

3, 5, 71, 139

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 71 x 71 x 139 = 31,531,455

This can also be written as 32 x 51 x 712 x 1391 = 31,531,455

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


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