Q: What are the prime factors of the number 5,580,336?

 A: 2, 3, 116257

Why are those the prime factors of the number 5,580,336?

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 5,580,336

5,580,336
Factor Arrows
22,790,168
Factor Arrows
21,395,084
Factor Arrows
2697,542
Factor Arrows
2348,771
Factor Arrows
3116,257

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, 116257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 116,257 = 5,580,336

This can also be written as 24 x 31 x 116,2571 = 5,580,336

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


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