Q: What are the prime factors of the number 125,510,436?

 A: 2, 3, 601, 5801

Why are those the prime factors of the number 125,510,436?

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 125,510,436

125,510,436
Factor Arrows
262,755,218
Factor Arrows
231,377,609
Factor Arrows
310,459,203
Factor Arrows
33,486,401
Factor Arrows
6015,801

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, 3, 601, 5801

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 601 x 5,801 = 125,510,436

This can also be written as 22 x 32 x 6011 x 5,8011 = 125,510,436

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


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