Q: What are the prime factors of the number 124,261,740?

 A: 2, 3, 5, 137, 5039

Why are those the prime factors of the number 124,261,740?

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 124,261,740

124,261,740
Factor Arrows
262,130,870
Factor Arrows
231,065,435
Factor Arrows
310,355,145
Factor Arrows
33,451,715
Factor Arrows
5690,343
Factor Arrows
1375,039

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, 137, 5039

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 137 x 5,039 = 124,261,740

This can also be written as 22 x 32 x 51 x 1371 x 5,0391 = 124,261,740

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


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