Q: What are the prime factors of the number 133,338,402?

 A: 2, 3, 7407689

Why are those the prime factors of the number 133,338,402?

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 133,338,402

133,338,402
Factor Arrows
266,669,201
Factor Arrows
322,223,067
Factor Arrows
37,407,689

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, 7407689

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7,407,689 = 133,338,402

This can also be written as 21 x 32 x 7,407,6891 = 133,338,402

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


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