Q: What are the prime factors of the number 23,951,220?

 A: 2, 3, 5, 31, 79, 163

Why are those the prime factors of the number 23,951,220?

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 23,951,220

23,951,220
Factor Arrows
211,975,610
Factor Arrows
25,987,805
Factor Arrows
31,995,935
Factor Arrows
5399,187
Factor Arrows
3112,877
Factor Arrows
79163

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, 5, 31, 79, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 31 x 79 x 163 = 23,951,220

This can also be written as 22 x 31 x 51 x 311 x 791 x 1631 = 23,951,220

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


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