Q: What are the prime factors of the number 132,232,032?

 A: 2, 3, 53, 8663

Why are those the prime factors of the number 132,232,032?

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 132,232,032

132,232,032
Factor Arrows
266,116,016
Factor Arrows
233,058,008
Factor Arrows
216,529,004
Factor Arrows
28,264,502
Factor Arrows
24,132,251
Factor Arrows
31,377,417
Factor Arrows
3459,139
Factor Arrows
538,663

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, 53, 8663

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 53 x 8,663 = 132,232,032

This can also be written as 25 x 32 x 531 x 8,6631 = 132,232,032

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


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