Q: What are the prime factors of the number 134,522,232?

 A: 2, 3, 13, 37, 43, 271

Why are those the prime factors of the number 134,522,232?

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 134,522,232

134,522,232
Factor Arrows
267,261,116
Factor Arrows
233,630,558
Factor Arrows
216,815,279
Factor Arrows
35,605,093
Factor Arrows
13431,161
Factor Arrows
3711,653
Factor Arrows
43271

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, 37, 43, 271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 37 x 43 x 271 = 134,522,232

This can also be written as 23 x 31 x 131 x 371 x 431 x 2711 = 134,522,232

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


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