Q: What are the prime factors of the number 508,360?

 A: 2, 5, 71, 179

Why are those the prime factors of the number 508,360?

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 508,360

508,360
Factor Arrows
2254,180
Factor Arrows
2127,090
Factor Arrows
263,545
Factor Arrows
512,709
Factor Arrows
71179

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, 5, 71, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 71 x 179 = 508,360

This can also be written as 23 x 51 x 711 x 1791 = 508,360

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


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