Q: What are the prime factors of the number 108,935,925?

 A: 3, 5, 7, 207497

Why are those the prime factors of the number 108,935,925?

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 108,935,925

108,935,925
Factor Arrows
336,311,975
Factor Arrows
57,262,395
Factor Arrows
51,452,479
Factor Arrows
7207,497

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, 7, 207497

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 207,497 = 108,935,925

This can also be written as 31 x 52 x 71 x 207,4971 = 108,935,925

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


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