Q: What are the prime factors of the number 132,032,460?

 A: 2, 3, 5, 7, 44909

Why are those the prime factors of the number 132,032,460?

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 132,032,460

132,032,460
Factor Arrows
266,016,230
Factor Arrows
233,008,115
Factor Arrows
311,002,705
Factor Arrows
52,200,541
Factor Arrows
7314,363
Factor Arrows
744,909

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, 7, 44909

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 7 x 44,909 = 132,032,460

This can also be written as 22 x 31 x 51 x 72 x 44,9091 = 132,032,460

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


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