Q: What are the prime factors of the number 123,015,704?

 A: 2, 7, 2196709

Why are those the prime factors of the number 123,015,704?

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 123,015,704

123,015,704
Factor Arrows
261,507,852
Factor Arrows
230,753,926
Factor Arrows
215,376,963
Factor Arrows
72,196,709

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:

2, 7, 2196709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 2,196,709 = 123,015,704

This can also be written as 23 x 71 x 2,196,7091 = 123,015,704

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


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