Q: What are the prime factors of the number 8,597,776?

 A: 2, 11, 4441

Why are those the prime factors of the number 8,597,776?

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 8,597,776

8,597,776
Factor Arrows
24,298,888
Factor Arrows
22,149,444
Factor Arrows
21,074,722
Factor Arrows
2537,361
Factor Arrows
1148,851
Factor Arrows
114,441

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, 11, 4441

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 11 x 4,441 = 8,597,776

This can also be written as 24 x 112 x 4,4411 = 8,597,776

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


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