Q: What are the prime factors of the number 152,586?

 A: 2, 3, 7, 173

Why are those the prime factors of the number 152,586?

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 152,586

152,586
Factor Arrows
276,293
Factor Arrows
325,431
Factor Arrows
38,477
Factor Arrows
71,211
Factor Arrows
7173

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, 7, 173

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 7 x 173 = 152,586

This can also be written as 21 x 32 x 72 x 1731 = 152,586

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


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