Q: What are the prime factors of the number 220,010,013?

 A: 3, 33533

Why are those the prime factors of the number 220,010,013?

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 220,010,013

220,010,013
Factor Arrows
373,336,671
Factor Arrows
324,445,557
Factor Arrows
38,148,519
Factor Arrows
32,716,173
Factor Arrows
3905,391
Factor Arrows
3301,797
Factor Arrows
3100,599
Factor Arrows
333,533

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, 33533

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 33,533 = 220,010,013

This can also be written as 38 x 33,5331 = 220,010,013

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


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