Q: What are the prime factors of the number 134,120,532?

 A: 2, 3, 7, 13, 263, 467

Why are those the prime factors of the number 134,120,532?

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 134,120,532

134,120,532
Factor Arrows
267,060,266
Factor Arrows
233,530,133
Factor Arrows
311,176,711
Factor Arrows
71,596,673
Factor Arrows
13122,821
Factor Arrows
263467

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, 7, 13, 263, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 13 x 263 x 467 = 134,120,532

This can also be written as 22 x 31 x 71 x 131 x 2631 x 4671 = 134,120,532

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


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