Q: What are the prime factors of the number 107,825,607?

 A: 3, 383, 10427

Why are those the prime factors of the number 107,825,607?

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 107,825,607

107,825,607
Factor Arrows
335,941,869
Factor Arrows
311,980,623
Factor Arrows
33,993,541
Factor Arrows
38310,427

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, 383, 10427

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 383 x 10,427 = 107,825,607

This can also be written as 33 x 3831 x 10,4271 = 107,825,607

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


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