Q: What are the prime factors of the number 203,055,872?

 A: 2, 793187

Why are those the prime factors of the number 203,055,872?

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 203,055,872

203,055,872
Factor Arrows
2101,527,936
Factor Arrows
250,763,968
Factor Arrows
225,381,984
Factor Arrows
212,690,992
Factor Arrows
26,345,496
Factor Arrows
23,172,748
Factor Arrows
21,586,374
Factor Arrows
2793,187

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, 793187

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 2 x 2 x 793,187 = 203,055,872

This can also be written as 28 x 793,1871 = 203,055,872

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


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