Q: What are the prime factors of the number 107,977,382?

 A: 2, 29, 151, 12329

Why are those the prime factors of the number 107,977,382?

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 107,977,382

107,977,382
Factor Arrows
253,988,691
Factor Arrows
291,861,679
Factor Arrows
15112,329

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, 29, 151, 12329

We can check our work by multiplying all of the prime factors together: 2 x 29 x 151 x 12,329 = 107,977,382

This can also be written as 21 x 291 x 1511 x 12,3291 = 107,977,382

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


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