Q: What are the prime factors of the number 134,014,014?

 A: 2, 3, 47, 5867

Why are those the prime factors of the number 134,014,014?

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 134,014,014

134,014,014
Factor Arrows
267,007,007
Factor Arrows
322,335,669
Factor Arrows
37,445,223
Factor Arrows
32,481,741
Factor Arrows
3827,247
Factor Arrows
3275,749
Factor Arrows
475,867

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, 47, 5867

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 47 x 5,867 = 134,014,014

This can also be written as 21 x 35 x 471 x 5,8671 = 134,014,014

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


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