Q: What are the prime factors of the number 132,535,744?

 A: 2, 11, 188261

Why are those the prime factors of the number 132,535,744?

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 132,535,744

132,535,744
Factor Arrows
266,267,872
Factor Arrows
233,133,936
Factor Arrows
216,566,968
Factor Arrows
28,283,484
Factor Arrows
24,141,742
Factor Arrows
22,070,871
Factor Arrows
11188,261

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, 11, 188261

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 11 x 188,261 = 132,535,744

This can also be written as 26 x 111 x 188,2611 = 132,535,744

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


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