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

 A: 2, 11, 89

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

250,624
Factor Arrows
2125,312
Factor Arrows
262,656
Factor Arrows
231,328
Factor Arrows
215,664
Factor Arrows
27,832
Factor Arrows
23,916
Factor Arrows
21,958
Factor Arrows
2979
Factor Arrows
1189

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, 11, 89

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 11 x 89 = 250,624

This can also be written as 28 x 111 x 891 = 250,624

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


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