Q: What are the prime factors of the number 125,423,776?

 A: 2, 43, 91151

Why are those the prime factors of the number 125,423,776?

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 125,423,776

125,423,776
Factor Arrows
262,711,888
Factor Arrows
231,355,944
Factor Arrows
215,677,972
Factor Arrows
27,838,986
Factor Arrows
23,919,493
Factor Arrows
4391,151

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, 43, 91151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 91,151 = 125,423,776

This can also be written as 25 x 431 x 91,1511 = 125,423,776

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


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