Q: What are the prime factors of the number 133,675,065?

 A: 3, 5, 29, 102433

Why are those the prime factors of the number 133,675,065?

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 133,675,065

133,675,065
Factor Arrows
344,558,355
Factor Arrows
314,852,785
Factor Arrows
52,970,557
Factor Arrows
29102,433

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, 29, 102433

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 29 x 102,433 = 133,675,065

This can also be written as 32 x 51 x 291 x 102,4331 = 133,675,065

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


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