Q: What are the prime factors of the number 275,203,731?

 A: 3, 11, 758137

Why are those the prime factors of the number 275,203,731?

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 275,203,731

275,203,731
Factor Arrows
391,734,577
Factor Arrows
118,339,507
Factor Arrows
11758,137

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, 11, 758137

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 758,137 = 275,203,731

This can also be written as 31 x 112 x 758,1371 = 275,203,731

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


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