Q: What are the prime factors of the number 4,859,855?

 A: 5, 7, 11, 13, 971

Why are those the prime factors of the number 4,859,855?

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 4,859,855

4,859,855
Factor Arrows
5971,971
Factor Arrows
7138,853
Factor Arrows
1112,623
Factor Arrows
13971

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:

5, 7, 11, 13, 971

We can check our work by multiplying all of the prime factors together: 5 x 7 x 11 x 13 x 971 = 4,859,855

This can also be written as 51 x 71 x 111 x 131 x 9711 = 4,859,855

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


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