Q: What are the prime factors of the number 126,764,756?

 A: 2, 113, 283, 991

Why are those the prime factors of the number 126,764,756?

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 126,764,756

126,764,756
Factor Arrows
263,382,378
Factor Arrows
231,691,189
Factor Arrows
113280,453
Factor Arrows
283991

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, 113, 283, 991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 113 x 283 x 991 = 126,764,756

This can also be written as 22 x 1131 x 2831 x 9911 = 126,764,756

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


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