Q: What are the prime factors of the number 31,799,118?

 A: 2, 3, 13, 31, 13151

Why are those the prime factors of the number 31,799,118?

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 31,799,118

31,799,118
Factor Arrows
215,899,559
Factor Arrows
35,299,853
Factor Arrows
13407,681
Factor Arrows
3113,151

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, 13, 31, 13151

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 31 x 13,151 = 31,799,118

This can also be written as 21 x 31 x 131 x 311 x 13,1511 = 31,799,118

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


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