Q: What are the prime factors of the number 44,032,925?

 A: 5, 23, 76579

Why are those the prime factors of the number 44,032,925?

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 44,032,925

44,032,925
Factor Arrows
58,806,585
Factor Arrows
51,761,317
Factor Arrows
2376,579

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, 23, 76579

We can check our work by multiplying all of the prime factors together: 5 x 5 x 23 x 76,579 = 44,032,925

This can also be written as 52 x 231 x 76,5791 = 44,032,925

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


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