Q: What are the prime factors of the number 24,157,818?

 A: 2, 3, 37, 107, 113

Why are those the prime factors of the number 24,157,818?

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 24,157,818

24,157,818
Factor Arrows
212,078,909
Factor Arrows
34,026,303
Factor Arrows
31,342,101
Factor Arrows
3447,367
Factor Arrows
3712,091
Factor Arrows
107113

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, 37, 107, 113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 37 x 107 x 113 = 24,157,818

This can also be written as 21 x 33 x 371 x 1071 x 1131 = 24,157,818

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


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