Q: What are the prime factors of the number 133,320,044?

 A: 2, 11, 13, 17929

Why are those the prime factors of the number 133,320,044?

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 133,320,044

133,320,044
Factor Arrows
266,660,022
Factor Arrows
233,330,011
Factor Arrows
113,030,001
Factor Arrows
13233,077
Factor Arrows
1317,929

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, 11, 13, 17929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 13 x 13 x 17,929 = 133,320,044

This can also be written as 22 x 111 x 132 x 17,9291 = 133,320,044

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


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