Q: What are the prime factors of the number 22,632,904?

 A: 2, 7, 57737

Why are those the prime factors of the number 22,632,904?

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 22,632,904

22,632,904
Factor Arrows
211,316,452
Factor Arrows
25,658,226
Factor Arrows
22,829,113
Factor Arrows
7404,159
Factor Arrows
757,737

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, 57737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 57,737 = 22,632,904

This can also be written as 23 x 72 x 57,7371 = 22,632,904

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


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