Q: What are the prime factors of the number 132,060,552?

 A: 2, 3, 13, 311, 1361

Why are those the prime factors of the number 132,060,552?

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 132,060,552

132,060,552
Factor Arrows
266,030,276
Factor Arrows
233,015,138
Factor Arrows
216,507,569
Factor Arrows
35,502,523
Factor Arrows
13423,271
Factor Arrows
3111,361

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, 311, 1361

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 311 x 1,361 = 132,060,552

This can also be written as 23 x 31 x 131 x 3111 x 1,3611 = 132,060,552

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


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