Q: What are the prime factors of the number 3,422,688?

 A: 2, 3, 101, 353

Why are those the prime factors of the number 3,422,688?

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 3,422,688

3,422,688
Factor Arrows
21,711,344
Factor Arrows
2855,672
Factor Arrows
2427,836
Factor Arrows
2213,918
Factor Arrows
2106,959
Factor Arrows
335,653
Factor Arrows
101353

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, 101, 353

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 101 x 353 = 3,422,688

This can also be written as 25 x 31 x 1011 x 3531 = 3,422,688

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


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