Q: What are the prime factors of the number 5,581,680?

 A: 2, 3, 5, 13, 1789

Why are those the prime factors of the number 5,581,680?

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 5,581,680

5,581,680
Factor Arrows
22,790,840
Factor Arrows
21,395,420
Factor Arrows
2697,710
Factor Arrows
2348,855
Factor Arrows
3116,285
Factor Arrows
523,257
Factor Arrows
131,789

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, 5, 13, 1789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 13 x 1,789 = 5,581,680

This can also be written as 24 x 31 x 51 x 131 x 1,7891 = 5,581,680

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


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