Q: What are the prime factors of the number 22,315,512?

 A: 2, 3, 929813

Why are those the prime factors of the number 22,315,512?

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 22,315,512

22,315,512
Factor Arrows
211,157,756
Factor Arrows
25,578,878
Factor Arrows
22,789,439
Factor Arrows
3929,813

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, 929813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 929,813 = 22,315,512

This can also be written as 23 x 31 x 929,8131 = 22,315,512

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


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