Q: What are the prime factors of the number 132,104,100?

 A: 2, 3, 5, 440347

Why are those the prime factors of the number 132,104,100?

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 132,104,100

132,104,100
Factor Arrows
266,052,050
Factor Arrows
233,026,025
Factor Arrows
311,008,675
Factor Arrows
52,201,735
Factor Arrows
5440,347

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, 5, 440347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 440,347 = 132,104,100

This can also be written as 22 x 31 x 52 x 440,3471 = 132,104,100

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


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