Q: What are the prime factors of the number 603,073,701?

 A: 3, 89, 250967

Why are those the prime factors of the number 603,073,701?

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 603,073,701

603,073,701
Factor Arrows
3201,024,567
Factor Arrows
367,008,189
Factor Arrows
322,336,063
Factor Arrows
89250,967

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, 89, 250967

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 89 x 250,967 = 603,073,701

This can also be written as 33 x 891 x 250,9671 = 603,073,701

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


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