Q: What are the prime factors of the number 183,321,024?

 A: 2, 3, 59, 16183

Why are those the prime factors of the number 183,321,024?

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 183,321,024

183,321,024
Factor Arrows
291,660,512
Factor Arrows
245,830,256
Factor Arrows
222,915,128
Factor Arrows
211,457,564
Factor Arrows
25,728,782
Factor Arrows
22,864,391
Factor Arrows
3954,797
Factor Arrows
5916,183

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, 59, 16183

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 59 x 16,183 = 183,321,024

This can also be written as 26 x 31 x 591 x 16,1831 = 183,321,024

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


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