Q: What are the prime factors of the number 43,160,016?

 A: 2, 3, 89, 10103

Why are those the prime factors of the number 43,160,016?

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 43,160,016

43,160,016
Factor Arrows
221,580,008
Factor Arrows
210,790,004
Factor Arrows
25,395,002
Factor Arrows
22,697,501
Factor Arrows
3899,167
Factor Arrows
8910,103

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, 89, 10103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 89 x 10,103 = 43,160,016

This can also be written as 24 x 31 x 891 x 10,1031 = 43,160,016

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


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