Q: What are the prime factors of the number 9,768,816?

 A: 2, 3, 22613

Why are those the prime factors of the number 9,768,816?

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 9,768,816

9,768,816
Factor Arrows
24,884,408
Factor Arrows
22,442,204
Factor Arrows
21,221,102
Factor Arrows
2610,551
Factor Arrows
3203,517
Factor Arrows
367,839
Factor Arrows
322,613

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, 22613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 22,613 = 9,768,816

This can also be written as 24 x 33 x 22,6131 = 9,768,816

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


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