Q: What are the prime factors of the number 22,937,049?

 A: 3, 23, 110807

Why are those the prime factors of the number 22,937,049?

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 22,937,049

22,937,049
Factor Arrows
37,645,683
Factor Arrows
32,548,561
Factor Arrows
23110,807

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, 23, 110807

We can check our work by multiplying all of the prime factors together: 3 x 3 x 23 x 110,807 = 22,937,049

This can also be written as 32 x 231 x 110,8071 = 22,937,049

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


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