Q: What are the prime factors of the number 591,156?

 A: 2, 3, 16421

Why are those the prime factors of the number 591,156?

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 591,156

591,156
Factor Arrows
2295,578
Factor Arrows
2147,789
Factor Arrows
349,263
Factor Arrows
316,421

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, 16421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 16,421 = 591,156

This can also be written as 22 x 32 x 16,4211 = 591,156

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


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