Q: What are the prime factors of the number 23,115,372?

 A: 2, 3, 7, 275183

Why are those the prime factors of the number 23,115,372?

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 23,115,372

23,115,372
Factor Arrows
211,557,686
Factor Arrows
25,778,843
Factor Arrows
31,926,281
Factor Arrows
7275,183

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, 7, 275183

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 275,183 = 23,115,372

This can also be written as 22 x 31 x 71 x 275,1831 = 23,115,372

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


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