Q: What are the prime factors of the number 23,686,160?

 A: 2, 5, 19, 15583

Why are those the prime factors of the number 23,686,160?

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 23,686,160

23,686,160
Factor Arrows
211,843,080
Factor Arrows
25,921,540
Factor Arrows
22,960,770
Factor Arrows
21,480,385
Factor Arrows
5296,077
Factor Arrows
1915,583

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, 5, 19, 15583

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 19 x 15,583 = 23,686,160

This can also be written as 24 x 51 x 191 x 15,5831 = 23,686,160

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


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