Q: What are the prime factors of the number 212,020,011?

 A: 3, 7, 53419

Why are those the prime factors of the number 212,020,011?

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 212,020,011

212,020,011
Factor Arrows
370,673,337
Factor Arrows
323,557,779
Factor Arrows
37,852,593
Factor Arrows
32,617,531
Factor Arrows
7373,933
Factor Arrows
753,419

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:

3, 7, 53419

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 7 x 53,419 = 212,020,011

This can also be written as 34 x 72 x 53,4191 = 212,020,011

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


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