Q: What are the prime factors of the number 6,691,068?

 A: 2, 3, 23, 8081

Why are those the prime factors of the number 6,691,068?

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 6,691,068

6,691,068
Factor Arrows
23,345,534
Factor Arrows
21,672,767
Factor Arrows
3557,589
Factor Arrows
3185,863
Factor Arrows
238,081

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, 23, 8081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 23 x 8,081 = 6,691,068

This can also be written as 22 x 32 x 231 x 8,0811 = 6,691,068

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


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