Q: What are the prime factors of the number 156,134,459?

 A: 13, 157, 227, 337

Why are those the prime factors of the number 156,134,459?

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 156,134,459

156,134,459
Factor Arrows
1312,010,343
Factor Arrows
15776,499
Factor Arrows
227337

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:

13, 157, 227, 337

We can check our work by multiplying all of the prime factors together: 13 x 157 x 227 x 337 = 156,134,459

This can also be written as 131 x 1571 x 2271 x 3371 = 156,134,459

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


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