Q: What are the prime factors of the number 134,645,346?

 A: 2, 3, 11, 680027

Why are those the prime factors of the number 134,645,346?

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 134,645,346

134,645,346
Factor Arrows
267,322,673
Factor Arrows
322,440,891
Factor Arrows
37,480,297
Factor Arrows
11680,027

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, 11, 680027

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 680,027 = 134,645,346

This can also be written as 21 x 32 x 111 x 680,0271 = 134,645,346

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


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