Q: What are the prime factors of the number 161,558,568?

 A: 2, 3, 43, 52183

Why are those the prime factors of the number 161,558,568?

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 161,558,568

161,558,568
Factor Arrows
280,779,284
Factor Arrows
240,389,642
Factor Arrows
220,194,821
Factor Arrows
36,731,607
Factor Arrows
32,243,869
Factor Arrows
4352,183

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, 43, 52183

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 43 x 52,183 = 161,558,568

This can also be written as 23 x 32 x 431 x 52,1831 = 161,558,568

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


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