Q: What are the prime factors of the number 23,440,860?

 A: 2, 3, 5, 83, 523

Why are those the prime factors of the number 23,440,860?

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 23,440,860

23,440,860
Factor Arrows
211,720,430
Factor Arrows
25,860,215
Factor Arrows
31,953,405
Factor Arrows
3651,135
Factor Arrows
3217,045
Factor Arrows
543,409
Factor Arrows
83523

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, 83, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 83 x 523 = 23,440,860

This can also be written as 22 x 33 x 51 x 831 x 5231 = 23,440,860

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


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