Q: What are the prime factors of the number 123,403,040?

 A: 2, 5, 771269

Why are those the prime factors of the number 123,403,040?

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 123,403,040

123,403,040
Factor Arrows
261,701,520
Factor Arrows
230,850,760
Factor Arrows
215,425,380
Factor Arrows
27,712,690
Factor Arrows
23,856,345
Factor Arrows
5771,269

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, 5, 771269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 771,269 = 123,403,040

This can also be written as 25 x 51 x 771,2691 = 123,403,040

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


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