Q: What are the prime factors of the number 125,313,496?

 A: 2, 7, 11, 203431

Why are those the prime factors of the number 125,313,496?

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 125,313,496

125,313,496
Factor Arrows
262,656,748
Factor Arrows
231,328,374
Factor Arrows
215,664,187
Factor Arrows
72,237,741
Factor Arrows
11203,431

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, 7, 11, 203431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 11 x 203,431 = 125,313,496

This can also be written as 23 x 71 x 111 x 203,4311 = 125,313,496

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


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