Q: What are the prime factors of the number 22,261,728?

 A: 2, 3, 231893

Why are those the prime factors of the number 22,261,728?

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 22,261,728

22,261,728
Factor Arrows
211,130,864
Factor Arrows
25,565,432
Factor Arrows
22,782,716
Factor Arrows
21,391,358
Factor Arrows
2695,679
Factor Arrows
3231,893

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, 231893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 231,893 = 22,261,728

This can also be written as 25 x 31 x 231,8931 = 22,261,728

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


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