Q: What are the prime factors of the number 40,250,624?

 A: 2, 157229

Why are those the prime factors of the number 40,250,624?

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 40,250,624

40,250,624
Factor Arrows
220,125,312
Factor Arrows
210,062,656
Factor Arrows
25,031,328
Factor Arrows
22,515,664
Factor Arrows
21,257,832
Factor Arrows
2628,916
Factor Arrows
2314,458
Factor Arrows
2157,229

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, 157229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 157,229 = 40,250,624

This can also be written as 28 x 157,2291 = 40,250,624

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


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