Q: What are the prime factors of the number 203,043,351?

 A: 3, 7, 79, 122389

Why are those the prime factors of the number 203,043,351?

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 203,043,351

203,043,351
Factor Arrows
367,681,117
Factor Arrows
79,668,731
Factor Arrows
79122,389

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, 7, 79, 122389

We can check our work by multiplying all of the prime factors together: 3 x 7 x 79 x 122,389 = 203,043,351

This can also be written as 31 x 71 x 791 x 122,3891 = 203,043,351

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


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