Q: What are the prime factors of the number 105,660?

 A: 2, 3, 5, 587

Why are those the prime factors of the number 105,660?

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 105,660

105,660
Factor Arrows
252,830
Factor Arrows
226,415
Factor Arrows
38,805
Factor Arrows
32,935
Factor Arrows
5587

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, 587

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 587 = 105,660

This can also be written as 22 x 32 x 51 x 5871 = 105,660

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


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