Q: What are the prime factors of the number 22,476,663?

 A: 3, 11, 75679

Why are those the prime factors of the number 22,476,663?

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 22,476,663

22,476,663
Factor Arrows
37,492,221
Factor Arrows
32,497,407
Factor Arrows
3832,469
Factor Arrows
1175,679

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:

3, 11, 75679

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 75,679 = 22,476,663

This can also be written as 33 x 111 x 75,6791 = 22,476,663

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


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