Q: What are the prime factors of the number 24,157,815?

 A: 3, 5, 11, 41, 3571

Why are those the prime factors of the number 24,157,815?

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 24,157,815

24,157,815
Factor Arrows
38,052,605
Factor Arrows
51,610,521
Factor Arrows
11146,411
Factor Arrows
413,571

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:

3, 5, 11, 41, 3571

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 41 x 3,571 = 24,157,815

This can also be written as 31 x 51 x 111 x 411 x 3,5711 = 24,157,815

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


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