Q: What are the prime factors of the number 203,131,335?

 A: 3, 5, 11, 1231099

Why are those the prime factors of the number 203,131,335?

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 203,131,335

203,131,335
Factor Arrows
367,710,445
Factor Arrows
513,542,089
Factor Arrows
111,231,099

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, 5, 11, 1231099

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 1,231,099 = 203,131,335

This can also be written as 31 x 51 x 111 x 1,231,0991 = 203,131,335

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


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