Q: What are the prime factors of the number 44,314,020?

 A: 2, 3, 5, 137, 599

Why are those the prime factors of the number 44,314,020?

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 44,314,020

44,314,020
Factor Arrows
222,157,010
Factor Arrows
211,078,505
Factor Arrows
33,692,835
Factor Arrows
31,230,945
Factor Arrows
3410,315
Factor Arrows
582,063
Factor Arrows
137599

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, 137, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 137 x 599 = 44,314,020

This can also be written as 22 x 33 x 51 x 1371 x 5991 = 44,314,020

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


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