Q: What are the prime factors of the number 307,168?

 A: 2, 29, 331

Why are those the prime factors of the number 307,168?

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 307,168

307,168
Factor Arrows
2153,584
Factor Arrows
276,792
Factor Arrows
238,396
Factor Arrows
219,198
Factor Arrows
29,599
Factor Arrows
29331

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, 29, 331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29 x 331 = 307,168

This can also be written as 25 x 291 x 3311 = 307,168

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


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