Q: What are the prime factors of the number 22,697,360?

 A: 2, 5, 7, 40531

Why are those the prime factors of the number 22,697,360?

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 22,697,360

22,697,360
Factor Arrows
211,348,680
Factor Arrows
25,674,340
Factor Arrows
22,837,170
Factor Arrows
21,418,585
Factor Arrows
5283,717
Factor Arrows
740,531

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, 5, 7, 40531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 40,531 = 22,697,360

This can also be written as 24 x 51 x 71 x 40,5311 = 22,697,360

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


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