Q: What are the prime factors of the number 132,237,063?

 A: 3, 7, 457, 1531

Why are those the prime factors of the number 132,237,063?

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 132,237,063

132,237,063
Factor Arrows
344,079,021
Factor Arrows
314,693,007
Factor Arrows
34,897,669
Factor Arrows
7699,667
Factor Arrows
4571,531

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, 7, 457, 1531

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 457 x 1,531 = 132,237,063

This can also be written as 33 x 71 x 4571 x 1,5311 = 132,237,063

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


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