Q: What are the prime factors of the number 307,170?

 A: 2, 3, 5, 3413

Why are those the prime factors of the number 307,170?

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 307,170

307,170
Factor Arrows
2153,585
Factor Arrows
351,195
Factor Arrows
317,065
Factor Arrows
53,413

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, 5, 3413

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 3,413 = 307,170

This can also be written as 21 x 32 x 51 x 3,4131 = 307,170

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


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