Q: What are the prime factors of the number 756,132?

 A: 2, 3, 13, 37, 131

Why are those the prime factors of the number 756,132?

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 756,132

756,132
Factor Arrows
2378,066
Factor Arrows
2189,033
Factor Arrows
363,011
Factor Arrows
134,847
Factor Arrows
37131

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, 3, 13, 37, 131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 37 x 131 = 756,132

This can also be written as 22 x 31 x 131 x 371 x 1311 = 756,132

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


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