Q: What are the prime factors of the number 234,773,679?

 A: 3, 7, 43, 259993

Why are those the prime factors of the number 234,773,679?

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 234,773,679

234,773,679
Factor Arrows
378,257,893
Factor Arrows
711,179,699
Factor Arrows
43259,993

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, 43, 259993

We can check our work by multiplying all of the prime factors together: 3 x 7 x 43 x 259,993 = 234,773,679

This can also be written as 31 x 71 x 431 x 259,9931 = 234,773,679

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


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