Q: What are the prime factors of the number 212,020?

 A: 2, 5, 10601

Why are those the prime factors of the number 212,020?

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 212,020

212,020
Factor Arrows
2106,010
Factor Arrows
253,005
Factor Arrows
510,601

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, 10601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 10,601 = 212,020

This can also be written as 22 x 51 x 10,6011 = 212,020

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


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