Q: What are the prime factors of the number 22,694,436?

 A: 2, 3, 19, 33179

Why are those the prime factors of the number 22,694,436?

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 22,694,436

22,694,436
Factor Arrows
211,347,218
Factor Arrows
25,673,609
Factor Arrows
31,891,203
Factor Arrows
3630,401
Factor Arrows
1933,179

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, 19, 33179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 19 x 33,179 = 22,694,436

This can also be written as 22 x 32 x 191 x 33,1791 = 22,694,436

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


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