Q: What are the prime factors of the number 107,857,370?

 A: 2, 5, 31, 113, 3079

Why are those the prime factors of the number 107,857,370?

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 107,857,370

107,857,370
Factor Arrows
253,928,685
Factor Arrows
510,785,737
Factor Arrows
31347,927
Factor Arrows
1133,079

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, 31, 113, 3079

We can check our work by multiplying all of the prime factors together: 2 x 5 x 31 x 113 x 3,079 = 107,857,370

This can also be written as 21 x 51 x 311 x 1131 x 3,0791 = 107,857,370

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


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