Q: What are the prime factors of the number 132,535,336?

 A: 2, 19, 29, 107, 281

Why are those the prime factors of the number 132,535,336?

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 132,535,336

132,535,336
Factor Arrows
266,267,668
Factor Arrows
233,133,834
Factor Arrows
216,566,917
Factor Arrows
19871,943
Factor Arrows
2930,067
Factor Arrows
107281

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, 19, 29, 107, 281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 29 x 107 x 281 = 132,535,336

This can also be written as 23 x 191 x 291 x 1071 x 2811 = 132,535,336

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


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