Q: What are the prime factors of the number 132,602,240?

 A: 2, 5, 207191

Why are those the prime factors of the number 132,602,240?

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 132,602,240

132,602,240
Factor Arrows
266,301,120
Factor Arrows
233,150,560
Factor Arrows
216,575,280
Factor Arrows
28,287,640
Factor Arrows
24,143,820
Factor Arrows
22,071,910
Factor Arrows
21,035,955
Factor Arrows
5207,191

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, 5, 207191

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 2 x 5 x 207,191 = 132,602,240

This can also be written as 27 x 51 x 207,1911 = 132,602,240

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


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