Q: What are the prime factors of the number 6,557,750?

 A: 2, 5, 17, 1543

Why are those the prime factors of the number 6,557,750?

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 6,557,750

6,557,750
Factor Arrows
23,278,875
Factor Arrows
5655,775
Factor Arrows
5131,155
Factor Arrows
526,231
Factor Arrows
171,543

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, 17, 1543

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 17 x 1,543 = 6,557,750

This can also be written as 21 x 53 x 171 x 1,5431 = 6,557,750

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


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