Q: What are the prime factors of the number 231,550,473?

 A: 3, 7, 11, 19, 52757

Why are those the prime factors of the number 231,550,473?

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 231,550,473

231,550,473
Factor Arrows
377,183,491
Factor Arrows
711,026,213
Factor Arrows
111,002,383
Factor Arrows
1952,757

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, 11, 19, 52757

We can check our work by multiplying all of the prime factors together: 3 x 7 x 11 x 19 x 52,757 = 231,550,473

This can also be written as 31 x 71 x 111 x 191 x 52,7571 = 231,550,473

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


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