Q: What are the prime factors of the number 23,731,812?

 A: 2, 3, 13, 16903

Why are those the prime factors of the number 23,731,812?

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 23,731,812

23,731,812
Factor Arrows
211,865,906
Factor Arrows
25,932,953
Factor Arrows
31,977,651
Factor Arrows
3659,217
Factor Arrows
3219,739
Factor Arrows
1316,903

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, 13, 16903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 16,903 = 23,731,812

This can also be written as 22 x 33 x 131 x 16,9031 = 23,731,812

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


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