Q: What are the prime factors of the number 134,231,499?

 A: 3, 41, 499

Why are those the prime factors of the number 134,231,499?

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 134,231,499

134,231,499
Factor Arrows
344,743,833
Factor Arrows
314,914,611
Factor Arrows
34,971,537
Factor Arrows
31,657,179
Factor Arrows
3552,393
Factor Arrows
3184,131
Factor Arrows
361,377
Factor Arrows
320,459
Factor Arrows
41499

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:

3, 41, 499

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 41 x 499 = 134,231,499

This can also be written as 38 x 411 x 4991 = 134,231,499

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


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