Q: What are the prime factors of the number 133,021,341?

 A: 3, 31, 59, 8081

Why are those the prime factors of the number 133,021,341?

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 133,021,341

133,021,341
Factor Arrows
344,340,447
Factor Arrows
314,780,149
Factor Arrows
31476,779
Factor Arrows
598,081

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, 31, 59, 8081

We can check our work by multiplying all of the prime factors together: 3 x 3 x 31 x 59 x 8,081 = 133,021,341

This can also be written as 32 x 311 x 591 x 8,0811 = 133,021,341

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


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