Q: What are the prime factors of the number 6,902,986?

 A: 2, 17, 29, 7001

Why are those the prime factors of the number 6,902,986?

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 6,902,986

6,902,986
Factor Arrows
23,451,493
Factor Arrows
17203,029
Factor Arrows
297,001

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, 17, 29, 7001

We can check our work by multiplying all of the prime factors together: 2 x 17 x 29 x 7,001 = 6,902,986

This can also be written as 21 x 171 x 291 x 7,0011 = 6,902,986

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


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