Q: What are the prime factors of the number 203,333,139?

 A: 3, 47, 160231

Why are those the prime factors of the number 203,333,139?

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 203,333,139

203,333,139
Factor Arrows
367,777,713
Factor Arrows
322,592,571
Factor Arrows
37,530,857
Factor Arrows
47160,231

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:

3, 47, 160231

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 47 x 160,231 = 203,333,139

This can also be written as 33 x 471 x 160,2311 = 203,333,139

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


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