Q: What are the prime factors of the number 9,055,445?

 A: 5, 7, 23, 1607

Why are those the prime factors of the number 9,055,445?

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 9,055,445

9,055,445
Factor Arrows
51,811,089
Factor Arrows
7258,727
Factor Arrows
736,961
Factor Arrows
231,607

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:

5, 7, 23, 1607

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 23 x 1,607 = 9,055,445

This can also be written as 51 x 72 x 231 x 1,6071 = 9,055,445

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


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