Q: What are the prime factors of the number 44,061,330?

 A: 2, 3, 5, 23, 63857

Why are those the prime factors of the number 44,061,330?

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 44,061,330

44,061,330
Factor Arrows
222,030,665
Factor Arrows
37,343,555
Factor Arrows
51,468,711
Factor Arrows
2363,857

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, 23, 63857

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 23 x 63,857 = 44,061,330

This can also be written as 21 x 31 x 51 x 231 x 63,8571 = 44,061,330

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


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