Q: What are the prime factors of the number 23,327,838?

 A: 2, 3, 143999

Why are those the prime factors of the number 23,327,838?

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 23,327,838

23,327,838
Factor Arrows
211,663,919
Factor Arrows
33,887,973
Factor Arrows
31,295,991
Factor Arrows
3431,997
Factor Arrows
3143,999

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, 143999

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 143,999 = 23,327,838

This can also be written as 21 x 34 x 143,9991 = 23,327,838

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


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