Q: What are the prime factors of the number 3,391,040?

 A: 2, 5, 10597

Why are those the prime factors of the number 3,391,040?

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 3,391,040

3,391,040
Factor Arrows
21,695,520
Factor Arrows
2847,760
Factor Arrows
2423,880
Factor Arrows
2211,940
Factor Arrows
2105,970
Factor Arrows
252,985
Factor Arrows
510,597

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, 5, 10597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 10,597 = 3,391,040

This can also be written as 26 x 51 x 10,5971 = 3,391,040

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


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