Q: What are the prime factors of the number 169,860?

 A: 2, 3, 5, 19, 149

Why are those the prime factors of the number 169,860?

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 169,860

169,860
Factor Arrows
284,930
Factor Arrows
242,465
Factor Arrows
314,155
Factor Arrows
52,831
Factor Arrows
19149

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, 19, 149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 19 x 149 = 169,860

This can also be written as 22 x 31 x 51 x 191 x 1491 = 169,860

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


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