Q: What are the prime factors of the number 44,032,928?

 A: 2, 89, 15461

Why are those the prime factors of the number 44,032,928?

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 44,032,928

44,032,928
Factor Arrows
222,016,464
Factor Arrows
211,008,232
Factor Arrows
25,504,116
Factor Arrows
22,752,058
Factor Arrows
21,376,029
Factor Arrows
8915,461

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, 89, 15461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 89 x 15,461 = 44,032,928

This can also be written as 25 x 891 x 15,4611 = 44,032,928

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


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