Q: What are the prime factors of the number 155,312?

 A: 2, 17, 571

Why are those the prime factors of the number 155,312?

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 155,312

155,312
Factor Arrows
277,656
Factor Arrows
238,828
Factor Arrows
219,414
Factor Arrows
29,707
Factor Arrows
17571

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, 17, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 571 = 155,312

This can also be written as 24 x 171 x 5711 = 155,312

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


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