Q: What are the prime factors of the number 134,231,500?

 A: 2, 5, 13, 107, 193

Why are those the prime factors of the number 134,231,500?

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 134,231,500

134,231,500
Factor Arrows
267,115,750
Factor Arrows
233,557,875
Factor Arrows
56,711,575
Factor Arrows
51,342,315
Factor Arrows
5268,463
Factor Arrows
1320,651
Factor Arrows
107193

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, 5, 13, 107, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 13 x 107 x 193 = 134,231,500

This can also be written as 22 x 53 x 131 x 1071 x 1931 = 134,231,500

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


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