Q: What are the prime factors of the number 126,715,455?

 A: 3, 5, 599, 1567

Why are those the prime factors of the number 126,715,455?

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 126,715,455

126,715,455
Factor Arrows
342,238,485
Factor Arrows
314,079,495
Factor Arrows
34,693,165
Factor Arrows
5938,633
Factor Arrows
5991,567

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:

3, 5, 599, 1567

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 599 x 1,567 = 126,715,455

This can also be written as 33 x 51 x 5991 x 1,5671 = 126,715,455

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


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