Q: What are the prime factors of the number 134,432,232?

 A: 2, 3, 11, 107, 4759

Why are those the prime factors of the number 134,432,232?

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 134,432,232

134,432,232
Factor Arrows
267,216,116
Factor Arrows
233,608,058
Factor Arrows
216,804,029
Factor Arrows
35,601,343
Factor Arrows
11509,213
Factor Arrows
1074,759

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, 11, 107, 4759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 107 x 4,759 = 134,432,232

This can also be written as 23 x 31 x 111 x 1071 x 4,7591 = 134,432,232

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


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