Q: What are the prime factors of the number 23,440,020?

 A: 2, 3, 5, 227, 1721

Why are those the prime factors of the number 23,440,020?

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 23,440,020

23,440,020
Factor Arrows
211,720,010
Factor Arrows
25,860,005
Factor Arrows
31,953,335
Factor Arrows
5390,667
Factor Arrows
2271,721

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, 227, 1721

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 227 x 1,721 = 23,440,020

This can also be written as 22 x 31 x 51 x 2271 x 1,7211 = 23,440,020

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


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