Q: What are the prime factors of the number 124,415,880?

 A: 2, 3, 5, 1036799

Why are those the prime factors of the number 124,415,880?

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 124,415,880

124,415,880
Factor Arrows
262,207,940
Factor Arrows
231,103,970
Factor Arrows
215,551,985
Factor Arrows
35,183,995
Factor Arrows
51,036,799

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, 1036799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 1,036,799 = 124,415,880

This can also be written as 23 x 31 x 51 x 1,036,7991 = 124,415,880

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


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