Q: What are the prime factors of the number 134,100,351?

 A: 3, 7, 11, 193507

Why are those the prime factors of the number 134,100,351?

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 134,100,351

134,100,351
Factor Arrows
344,700,117
Factor Arrows
314,900,039
Factor Arrows
72,128,577
Factor Arrows
11193,507

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, 7, 11, 193507

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 11 x 193,507 = 134,100,351

This can also be written as 32 x 71 x 111 x 193,5071 = 134,100,351

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


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