Q: What are the prime factors of the number 23,173,670?

 A: 2, 5, 13, 178259

Why are those the prime factors of the number 23,173,670?

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 23,173,670

23,173,670
Factor Arrows
211,586,835
Factor Arrows
52,317,367
Factor Arrows
13178,259

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, 13, 178259

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 178,259 = 23,173,670

This can also be written as 21 x 51 x 131 x 178,2591 = 23,173,670

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


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