Q: What are the prime factors of the number 124,056,560?

 A: 2, 5, 37, 41911

Why are those the prime factors of the number 124,056,560?

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 124,056,560

124,056,560
Factor Arrows
262,028,280
Factor Arrows
231,014,140
Factor Arrows
215,507,070
Factor Arrows
27,753,535
Factor Arrows
51,550,707
Factor Arrows
3741,911

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, 37, 41911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 37 x 41,911 = 124,056,560

This can also be written as 24 x 51 x 371 x 41,9111 = 124,056,560

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


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