Q: What are the prime factors of the number 261,198?

 A: 2, 3, 7, 691

Why are those the prime factors of the number 261,198?

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 261,198

261,198
Factor Arrows
2130,599
Factor Arrows
343,533
Factor Arrows
314,511
Factor Arrows
34,837
Factor Arrows
7691

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, 7, 691

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 691 = 261,198

This can also be written as 21 x 33 x 71 x 6911 = 261,198

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


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