Q: What are the prime factors of the number 14,541,096?

 A: 2, 3, 605879

Why are those the prime factors of the number 14,541,096?

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 14,541,096

14,541,096
Factor Arrows
27,270,548
Factor Arrows
23,635,274
Factor Arrows
21,817,637
Factor Arrows
3605,879

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, 605879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 605,879 = 14,541,096

This can also be written as 23 x 31 x 605,8791 = 14,541,096

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


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