Q: What are the prime factors of the number 225,250,020?

 A: 2, 3, 5, 179, 6991

Why are those the prime factors of the number 225,250,020?

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 225,250,020

225,250,020
Factor Arrows
2112,625,010
Factor Arrows
256,312,505
Factor Arrows
318,770,835
Factor Arrows
36,256,945
Factor Arrows
51,251,389
Factor Arrows
1796,991

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, 179, 6991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 179 x 6,991 = 225,250,020

This can also be written as 22 x 32 x 51 x 1791 x 6,9911 = 225,250,020

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


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