Q: What are the prime factors of the number 137,650,305?

 A: 3, 5, 13, 705899

Why are those the prime factors of the number 137,650,305?

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 137,650,305

137,650,305
Factor Arrows
345,883,435
Factor Arrows
59,176,687
Factor Arrows
13705,899

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, 13, 705899

We can check our work by multiplying all of the prime factors together: 3 x 5 x 13 x 705,899 = 137,650,305

This can also be written as 31 x 51 x 131 x 705,8991 = 137,650,305

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


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