Q: What are the prime factors of the number 602,556?

 A: 2, 3, 149, 337

Why are those the prime factors of the number 602,556?

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 602,556

602,556
Factor Arrows
2301,278
Factor Arrows
2150,639
Factor Arrows
350,213
Factor Arrows
149337

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, 149, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 149 x 337 = 602,556

This can also be written as 22 x 31 x 1491 x 3371 = 602,556

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


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