Q: What are the prime factors of the number 134,747,018?

 A: 2, 7, 23, 31, 13499

Why are those the prime factors of the number 134,747,018?

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 134,747,018

134,747,018
Factor Arrows
267,373,509
Factor Arrows
79,624,787
Factor Arrows
23418,469
Factor Arrows
3113,499

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, 7, 23, 31, 13499

We can check our work by multiplying all of the prime factors together: 2 x 7 x 23 x 31 x 13,499 = 134,747,018

This can also be written as 21 x 71 x 231 x 311 x 13,4991 = 134,747,018

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


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