Q: What are the prime factors of the number 45,461,175?

 A: 3, 5, 67, 83, 109

Why are those the prime factors of the number 45,461,175?

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 45,461,175

45,461,175
Factor Arrows
315,153,725
Factor Arrows
53,030,745
Factor Arrows
5606,149
Factor Arrows
679,047
Factor Arrows
83109

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, 67, 83, 109

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 67 x 83 x 109 = 45,461,175

This can also be written as 31 x 52 x 671 x 831 x 1091 = 45,461,175

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


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