Q: What are the prime factors of the number 122,342,040?

 A: 2, 3, 5, 339839

Why are those the prime factors of the number 122,342,040?

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 122,342,040

122,342,040
Factor Arrows
261,171,020
Factor Arrows
230,585,510
Factor Arrows
215,292,755
Factor Arrows
35,097,585
Factor Arrows
31,699,195
Factor Arrows
5339,839

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, 3, 5, 339839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 339,839 = 122,342,040

This can also be written as 23 x 32 x 51 x 339,8391 = 122,342,040

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


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