Q: What are the prime factors of the number 602,741,363?

 A: 7, 43, 73, 27431

Why are those the prime factors of the number 602,741,363?

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 602,741,363

602,741,363
Factor Arrows
786,105,909
Factor Arrows
432,002,463
Factor Arrows
7327,431

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:

7, 43, 73, 27431

We can check our work by multiplying all of the prime factors together: 7 x 43 x 73 x 27,431 = 602,741,363

This can also be written as 71 x 431 x 731 x 27,4311 = 602,741,363

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


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