Q: What are the prime factors of the number 3,081,744?

 A: 2, 3, 21401

Why are those the prime factors of the number 3,081,744?

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 3,081,744

3,081,744
Factor Arrows
21,540,872
Factor Arrows
2770,436
Factor Arrows
2385,218
Factor Arrows
2192,609
Factor Arrows
364,203
Factor Arrows
321,401

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, 21401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 21,401 = 3,081,744

This can also be written as 24 x 32 x 21,4011 = 3,081,744

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


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