Q: What are the prime factors of the number 6,868?

 A: 2, 17, 101

Why are those the prime factors of the number 6,868?

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 6,868

6,868
Factor Arrows
23,434
Factor Arrows
21,717
Factor Arrows
17101

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, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 101 = 6,868

This can also be written as 22 x 171 x 1011 = 6,868

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


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