Q: What are the prime factors of the number 509,268?

 A: 2, 3, 31, 37

Why are those the prime factors of the number 509,268?

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 509,268

509,268
Factor Arrows
2254,634
Factor Arrows
2127,317
Factor Arrows
342,439
Factor Arrows
311,369
Factor Arrows
3737

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, 31, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 37 x 37 = 509,268

This can also be written as 22 x 31 x 311 x 372 = 509,268

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


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