Q: What are the prime factors of the number 843,756,831?

 A: 3, 47, 251, 883

Why are those the prime factors of the number 843,756,831?

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 843,756,831

843,756,831
Factor Arrows
3281,252,277
Factor Arrows
393,750,759
Factor Arrows
331,250,253
Factor Arrows
310,416,751
Factor Arrows
47221,633
Factor Arrows
251883

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, 251, 883

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 47 x 251 x 883 = 843,756,831

This can also be written as 34 x 471 x 2511 x 8831 = 843,756,831

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


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