Q: What are the prime factors of the number 123,656,805?

 A: 3, 5, 443, 6203

Why are those the prime factors of the number 123,656,805?

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 123,656,805

123,656,805
Factor Arrows
341,218,935
Factor Arrows
313,739,645
Factor Arrows
52,747,929
Factor Arrows
4436,203

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, 443, 6203

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 443 x 6,203 = 123,656,805

This can also be written as 32 x 51 x 4431 x 6,2031 = 123,656,805

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


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