Q: What are the prime factors of the number 603,669?

 A: 3, 11, 1663

Why are those the prime factors of the number 603,669?

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 603,669

603,669
Factor Arrows
3201,223
Factor Arrows
1118,293
Factor Arrows
111,663

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, 1663

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 1,663 = 603,669

This can also be written as 31 x 112 x 1,6631 = 603,669

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


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