Q: What are the prime factors of the number 110,625,453?

 A: 3, 31, 132169

Why are those the prime factors of the number 110,625,453?

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 110,625,453

110,625,453
Factor Arrows
336,875,151
Factor Arrows
312,291,717
Factor Arrows
34,097,239
Factor Arrows
31132,169

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, 31, 132169

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 31 x 132,169 = 110,625,453

This can also be written as 33 x 311 x 132,1691 = 110,625,453

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


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