Q: What are the prime factors of the number 234,205,120?

 A: 2, 5, 41, 17851

Why are those the prime factors of the number 234,205,120?

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 234,205,120

234,205,120
Factor Arrows
2117,102,560
Factor Arrows
258,551,280
Factor Arrows
229,275,640
Factor Arrows
214,637,820
Factor Arrows
27,318,910
Factor Arrows
23,659,455
Factor Arrows
5731,891
Factor Arrows
4117,851

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, 5, 41, 17851

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 5 x 41 x 17,851 = 234,205,120

This can also be written as 26 x 51 x 411 x 17,8511 = 234,205,120

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


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