Q: What are the prime factors of the number 8,546,796?

 A: 2, 3, 977

Why are those the prime factors of the number 8,546,796?

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 8,546,796

8,546,796
Factor Arrows
24,273,398
Factor Arrows
22,136,699
Factor Arrows
3712,233
Factor Arrows
3237,411
Factor Arrows
379,137
Factor Arrows
326,379
Factor Arrows
38,793
Factor Arrows
32,931
Factor Arrows
3977

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, 977

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 977 = 8,546,796

This can also be written as 22 x 37 x 9771 = 8,546,796

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


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