Q: What are the prime factors of the number 107,578?

 A: 2, 19, 149

Why are those the prime factors of the number 107,578?

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 107,578

107,578
Factor Arrows
253,789
Factor Arrows
192,831
Factor Arrows
19149

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, 19, 149

We can check our work by multiplying all of the prime factors together: 2 x 19 x 19 x 149 = 107,578

This can also be written as 21 x 192 x 1491 = 107,578

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


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