Q: What are the prime factors of the number 7,039,040?

 A: 2, 5, 21997

Why are those the prime factors of the number 7,039,040?

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 7,039,040

7,039,040
Factor Arrows
23,519,520
Factor Arrows
21,759,760
Factor Arrows
2879,880
Factor Arrows
2439,940
Factor Arrows
2219,970
Factor Arrows
2109,985
Factor Arrows
521,997

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, 21997

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 21,997 = 7,039,040

This can also be written as 26 x 51 x 21,9971 = 7,039,040

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


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