Q: What are the prime factors of the number 209,706?

 A: 2, 3, 7, 4993

Why are those the prime factors of the number 209,706?

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 209,706

209,706
Factor Arrows
2104,853
Factor Arrows
334,951
Factor Arrows
74,993

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, 4993

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 4,993 = 209,706

This can also be written as 21 x 31 x 71 x 4,9931 = 209,706

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


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