Q: What are the prime factors of the number 206,420?

 A: 2, 5, 10321

Why are those the prime factors of the number 206,420?

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 206,420

206,420
Factor Arrows
2103,210
Factor Arrows
251,605
Factor Arrows
510,321

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, 5, 10321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 10,321 = 206,420

This can also be written as 22 x 51 x 10,3211 = 206,420

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


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