Q: What are the prime factors of the number 45,304,110?

 A: 2, 3, 5, 55931

Why are those the prime factors of the number 45,304,110?

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 45,304,110

45,304,110
Factor Arrows
222,652,055
Factor Arrows
37,550,685
Factor Arrows
32,516,895
Factor Arrows
3838,965
Factor Arrows
3279,655
Factor Arrows
555,931

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, 5, 55931

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 55,931 = 45,304,110

This can also be written as 21 x 34 x 51 x 55,9311 = 45,304,110

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


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