Q: What are the prime factors of the number 996,198?

 A: 2, 3, 7, 23719

Why are those the prime factors of the number 996,198?

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 996,198

996,198
Factor Arrows
2498,099
Factor Arrows
3166,033
Factor Arrows
723,719

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, 23719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 23,719 = 996,198

This can also be written as 21 x 31 x 71 x 23,7191 = 996,198

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


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