Q: What are the prime factors of the number 124,025,724?

 A: 2, 3, 53, 65003

Why are those the prime factors of the number 124,025,724?

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 124,025,724

124,025,724
Factor Arrows
262,012,862
Factor Arrows
231,006,431
Factor Arrows
310,335,477
Factor Arrows
33,445,159
Factor Arrows
5365,003

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, 53, 65003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 53 x 65,003 = 124,025,724

This can also be written as 22 x 32 x 531 x 65,0031 = 124,025,724

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


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