Q: What are the prime factors of the number 275,202,012?

 A: 2, 3, 22933501

Why are those the prime factors of the number 275,202,012?

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 275,202,012

275,202,012
Factor Arrows
2137,601,006
Factor Arrows
268,800,503
Factor Arrows
322,933,501

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, 22933501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 22,933,501 = 275,202,012

This can also be written as 22 x 31 x 22,933,5011 = 275,202,012

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


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