Q: What are the prime factors of the number 23,445,153?

 A: 3, 41, 21179

Why are those the prime factors of the number 23,445,153?

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 23,445,153

23,445,153
Factor Arrows
37,815,051
Factor Arrows
32,605,017
Factor Arrows
3868,339
Factor Arrows
4121,179

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:

3, 41, 21179

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 41 x 21,179 = 23,445,153

This can also be written as 33 x 411 x 21,1791 = 23,445,153

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


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