Q: What are the prime factors of the number 511,168?

 A: 2, 7, 163

Why are those the prime factors of the number 511,168?

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 511,168

511,168
Factor Arrows
2255,584
Factor Arrows
2127,792
Factor Arrows
263,896
Factor Arrows
231,948
Factor Arrows
215,974
Factor Arrows
27,987
Factor Arrows
71,141
Factor Arrows
7163

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, 163

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 7 x 7 x 163 = 511,168

This can also be written as 26 x 72 x 1631 = 511,168

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


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