Q: What are the prime factors of the number 23,723,346?

 A: 2, 3, 127, 163, 191

Why are those the prime factors of the number 23,723,346?

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 23,723,346

23,723,346
Factor Arrows
211,861,673
Factor Arrows
33,953,891
Factor Arrows
12731,133
Factor Arrows
163191

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, 127, 163, 191

We can check our work by multiplying all of the prime factors together: 2 x 3 x 127 x 163 x 191 = 23,723,346

This can also be written as 21 x 31 x 1271 x 1631 x 1911 = 23,723,346

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


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