Q: What are the prime factors of the number 645,133,112?

 A: 2, 13, 6203203

Why are those the prime factors of the number 645,133,112?

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 645,133,112

645,133,112
Factor Arrows
2322,566,556
Factor Arrows
2161,283,278
Factor Arrows
280,641,639
Factor Arrows
136,203,203

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, 13, 6203203

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 6,203,203 = 645,133,112

This can also be written as 23 x 131 x 6,203,2031 = 645,133,112

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


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