Q: What are the prime factors of the number 8,669,592?

 A: 2, 3, 17, 787

Why are those the prime factors of the number 8,669,592?

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 8,669,592

8,669,592
Factor Arrows
24,334,796
Factor Arrows
22,167,398
Factor Arrows
21,083,699
Factor Arrows
3361,233
Factor Arrows
3120,411
Factor Arrows
340,137
Factor Arrows
313,379
Factor Arrows
17787

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, 17, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 787 = 8,669,592

This can also be written as 23 x 34 x 171 x 7871 = 8,669,592

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


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