Q: What are the prime factors of the number 133,451,615?

 A: 5, 11, 17, 53, 2693

Why are those the prime factors of the number 133,451,615?

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 133,451,615

133,451,615
Factor Arrows
526,690,323
Factor Arrows
112,426,393
Factor Arrows
17142,729
Factor Arrows
532,693

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:

5, 11, 17, 53, 2693

We can check our work by multiplying all of the prime factors together: 5 x 11 x 17 x 53 x 2,693 = 133,451,615

This can also be written as 51 x 111 x 171 x 531 x 2,6931 = 133,451,615

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


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