Q: What are the prime factors of the number 232,717,011?

 A: 3, 53, 269, 5441

Why are those the prime factors of the number 232,717,011?

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 232,717,011

232,717,011
Factor Arrows
377,572,337
Factor Arrows
531,463,629
Factor Arrows
2695,441

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, 53, 269, 5441

We can check our work by multiplying all of the prime factors together: 3 x 53 x 269 x 5,441 = 232,717,011

This can also be written as 31 x 531 x 2691 x 5,4411 = 232,717,011

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


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