Q: What are the prime factors of the number 22,079,176?

 A: 2, 7, 394271

Why are those the prime factors of the number 22,079,176?

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 22,079,176

22,079,176
Factor Arrows
211,039,588
Factor Arrows
25,519,794
Factor Arrows
22,759,897
Factor Arrows
7394,271

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, 7, 394271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 394,271 = 22,079,176

This can also be written as 23 x 71 x 394,2711 = 22,079,176

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


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