Q: What are the prime factors of the number 108,945?

 A: 3, 5, 269

Why are those the prime factors of the number 108,945?

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 108,945

108,945
Factor Arrows
336,315
Factor Arrows
312,105
Factor Arrows
34,035
Factor Arrows
31,345
Factor Arrows
5269

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:

3, 5, 269

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 269 = 108,945

This can also be written as 34 x 51 x 2691 = 108,945

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


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