Q: What are the prime factors of the number 133,660,116?

 A: 2, 3, 449, 8269

Why are those the prime factors of the number 133,660,116?

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 133,660,116

133,660,116
Factor Arrows
266,830,058
Factor Arrows
233,415,029
Factor Arrows
311,138,343
Factor Arrows
33,712,781
Factor Arrows
4498,269

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, 449, 8269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 449 x 8,269 = 133,660,116

This can also be written as 22 x 32 x 4491 x 8,2691 = 133,660,116

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


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