Q: What are the prime factors of the number 3,007,944?

 A: 2, 3, 41777

Why are those the prime factors of the number 3,007,944?

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 3,007,944

3,007,944
Factor Arrows
21,503,972
Factor Arrows
2751,986
Factor Arrows
2375,993
Factor Arrows
3125,331
Factor Arrows
341,777

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, 41777

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 41,777 = 3,007,944

This can also be written as 23 x 32 x 41,7771 = 3,007,944

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


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