Q: What are the prime factors of the number 22,614,672?

 A: 2, 3, 471139

Why are those the prime factors of the number 22,614,672?

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 22,614,672

22,614,672
Factor Arrows
211,307,336
Factor Arrows
25,653,668
Factor Arrows
22,826,834
Factor Arrows
21,413,417
Factor Arrows
3471,139

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, 471139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 471,139 = 22,614,672

This can also be written as 24 x 31 x 471,1391 = 22,614,672

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


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