Q: What are the prime factors of the number 3,350,652?

 A: 2, 3, 279221

Why are those the prime factors of the number 3,350,652?

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 3,350,652

3,350,652
Factor Arrows
21,675,326
Factor Arrows
2837,663
Factor Arrows
3279,221

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, 279221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 279,221 = 3,350,652

This can also be written as 22 x 31 x 279,2211 = 3,350,652

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


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