Q: What are the prime factors of the number 106,719,615?

 A: 3, 5, 937, 2531

Why are those the prime factors of the number 106,719,615?

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 106,719,615

106,719,615
Factor Arrows
335,573,205
Factor Arrows
311,857,735
Factor Arrows
52,371,547
Factor Arrows
9372,531

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, 937, 2531

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 937 x 2,531 = 106,719,615

This can also be written as 32 x 51 x 9371 x 2,5311 = 106,719,615

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


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