Q: What are the prime factors of the number 26,958,160?

 A: 2, 5, 336977

Why are those the prime factors of the number 26,958,160?

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 26,958,160

26,958,160
Factor Arrows
213,479,080
Factor Arrows
26,739,540
Factor Arrows
23,369,770
Factor Arrows
21,684,885
Factor Arrows
5336,977

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, 336977

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 336,977 = 26,958,160

This can also be written as 24 x 51 x 336,9771 = 26,958,160

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


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