Q: What are the prime factors of the number 5,121,488?

 A: 2, 17, 19, 991

Why are those the prime factors of the number 5,121,488?

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 5,121,488

5,121,488
Factor Arrows
22,560,744
Factor Arrows
21,280,372
Factor Arrows
2640,186
Factor Arrows
2320,093
Factor Arrows
1718,829
Factor Arrows
19991

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, 17, 19, 991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 19 x 991 = 5,121,488

This can also be written as 24 x 171 x 191 x 9911 = 5,121,488

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


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