Q: What are the prime factors of the number 12,100,750?

 A: 2, 5, 97, 499

Why are those the prime factors of the number 12,100,750?

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 12,100,750

12,100,750
Factor Arrows
26,050,375
Factor Arrows
51,210,075
Factor Arrows
5242,015
Factor Arrows
548,403
Factor Arrows
97499

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, 97, 499

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 97 x 499 = 12,100,750

This can also be written as 21 x 53 x 971 x 4991 = 12,100,750

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


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