Q: What are the prime factors of the number 40,014,843?

 A: 3, 11, 79, 15349

Why are those the prime factors of the number 40,014,843?

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 40,014,843

40,014,843
Factor Arrows
313,338,281
Factor Arrows
111,212,571
Factor Arrows
7915,349

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, 11, 79, 15349

We can check our work by multiplying all of the prime factors together: 3 x 11 x 79 x 15,349 = 40,014,843

This can also be written as 31 x 111 x 791 x 15,3491 = 40,014,843

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


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