Q: What are the prime factors of the number 7,040,688?

 A: 2, 3, 146681

Why are those the prime factors of the number 7,040,688?

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 7,040,688

7,040,688
Factor Arrows
23,520,344
Factor Arrows
21,760,172
Factor Arrows
2880,086
Factor Arrows
2440,043
Factor Arrows
3146,681

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, 146681

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 146,681 = 7,040,688

This can also be written as 24 x 31 x 146,6811 = 7,040,688

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


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