Q: What are the prime factors of the number 2,359,160?

 A: 2, 5, 58979

Why are those the prime factors of the number 2,359,160?

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 2,359,160

2,359,160
Factor Arrows
21,179,580
Factor Arrows
2589,790
Factor Arrows
2294,895
Factor Arrows
558,979

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, 58979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 58,979 = 2,359,160

This can also be written as 23 x 51 x 58,9791 = 2,359,160

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


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