Q: What are the prime factors of the number 108,173,748?

 A: 2, 3, 9014479

Why are those the prime factors of the number 108,173,748?

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 108,173,748

108,173,748
Factor Arrows
254,086,874
Factor Arrows
227,043,437
Factor Arrows
39,014,479

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, 3, 9014479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 9,014,479 = 108,173,748

This can also be written as 22 x 31 x 9,014,4791 = 108,173,748

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


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