Q: What are the prime factors of the number 22,313,632?

 A: 2, 11, 63391

Why are those the prime factors of the number 22,313,632?

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 22,313,632

22,313,632
Factor Arrows
211,156,816
Factor Arrows
25,578,408
Factor Arrows
22,789,204
Factor Arrows
21,394,602
Factor Arrows
2697,301
Factor Arrows
1163,391

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, 11, 63391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 63,391 = 22,313,632

This can also be written as 25 x 111 x 63,3911 = 22,313,632

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


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