Q: What are the prime factors of the number 14,855,840?

 A: 2, 5, 92849

Why are those the prime factors of the number 14,855,840?

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 14,855,840

14,855,840
Factor Arrows
27,427,920
Factor Arrows
23,713,960
Factor Arrows
21,856,980
Factor Arrows
2928,490
Factor Arrows
2464,245
Factor Arrows
592,849

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, 5, 92849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 92,849 = 14,855,840

This can also be written as 25 x 51 x 92,8491 = 14,855,840

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


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