Q: What are the prime factors of the number 159,108?

 A: 2, 3, 13259

Why are those the prime factors of the number 159,108?

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 159,108

159,108
Factor Arrows
279,554
Factor Arrows
239,777
Factor Arrows
313,259

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, 13259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13,259 = 159,108

This can also be written as 22 x 31 x 13,2591 = 159,108

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


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