Q: What are the prime factors of the number 44,864,624?

 A: 2, 7, 19, 29, 727

Why are those the prime factors of the number 44,864,624?

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 44,864,624

44,864,624
Factor Arrows
222,432,312
Factor Arrows
211,216,156
Factor Arrows
25,608,078
Factor Arrows
22,804,039
Factor Arrows
7400,577
Factor Arrows
1921,083
Factor Arrows
29727

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, 7, 19, 29, 727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 19 x 29 x 727 = 44,864,624

This can also be written as 24 x 71 x 191 x 291 x 7271 = 44,864,624

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


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