Q: What are the prime factors of the number 5,120,766?

 A: 2, 3, 7, 19, 23, 31

Why are those the prime factors of the number 5,120,766?

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 5,120,766

5,120,766
Factor Arrows
22,560,383
Factor Arrows
3853,461
Factor Arrows
3284,487
Factor Arrows
394,829
Factor Arrows
713,547
Factor Arrows
19713
Factor Arrows
2331

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, 7, 19, 23, 31

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 19 x 23 x 31 = 5,120,766

This can also be written as 21 x 33 x 71 x 191 x 231 x 311 = 5,120,766

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


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