Q: What are the prime factors of the number 20,604,288?

 A: 2, 3, 53657

Why are those the prime factors of the number 20,604,288?

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 20,604,288

20,604,288
Factor Arrows
210,302,144
Factor Arrows
25,151,072
Factor Arrows
22,575,536
Factor Arrows
21,287,768
Factor Arrows
2643,884
Factor Arrows
2321,942
Factor Arrows
2160,971
Factor Arrows
353,657

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, 53657

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 53,657 = 20,604,288

This can also be written as 27 x 31 x 53,6571 = 20,604,288

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


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