Q: What are the prime factors of the number 20,982,592?

 A: 2, 327853

Why are those the prime factors of the number 20,982,592?

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 20,982,592

20,982,592
Factor Arrows
210,491,296
Factor Arrows
25,245,648
Factor Arrows
22,622,824
Factor Arrows
21,311,412
Factor Arrows
2655,706
Factor Arrows
2327,853

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, 327853

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 327,853 = 20,982,592

This can also be written as 26 x 327,8531 = 20,982,592

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


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