Q: What are the prime factors of the number 6,627,560?

 A: 2, 5, 223, 743

Why are those the prime factors of the number 6,627,560?

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 6,627,560

6,627,560
Factor Arrows
23,313,780
Factor Arrows
21,656,890
Factor Arrows
2828,445
Factor Arrows
5165,689
Factor Arrows
223743

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, 223, 743

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 223 x 743 = 6,627,560

This can also be written as 23 x 51 x 2231 x 7431 = 6,627,560

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


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