Q: What are the prime factors of the number 11,859,024?

 A: 2, 3, 107, 2309

Why are those the prime factors of the number 11,859,024?

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 11,859,024

11,859,024
Factor Arrows
25,929,512
Factor Arrows
22,964,756
Factor Arrows
21,482,378
Factor Arrows
2741,189
Factor Arrows
3247,063
Factor Arrows
1072,309

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, 107, 2309

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 107 x 2,309 = 11,859,024

This can also be written as 24 x 31 x 1071 x 2,3091 = 11,859,024

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


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