Q: What are the prime factors of the number 3,290,576?

 A: 2, 205661

Why are those the prime factors of the number 3,290,576?

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 3,290,576

3,290,576
Factor Arrows
21,645,288
Factor Arrows
2822,644
Factor Arrows
2411,322
Factor Arrows
2205,661

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, 205661

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 205,661 = 3,290,576

This can also be written as 24 x 205,6611 = 3,290,576

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


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