Q: What are the prime factors of the number 133,860?

 A: 2, 3, 5, 23, 97

Why are those the prime factors of the number 133,860?

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 133,860

133,860
Factor Arrows
266,930
Factor Arrows
233,465
Factor Arrows
311,155
Factor Arrows
52,231
Factor Arrows
2397

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, 23, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 23 x 97 = 133,860

This can also be written as 22 x 31 x 51 x 231 x 971 = 133,860

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


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