Q: What are the prime factors of the number 134,110,422?

 A: 2, 3, 37, 59, 3413

Why are those the prime factors of the number 134,110,422?

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 134,110,422

134,110,422
Factor Arrows
267,055,211
Factor Arrows
322,351,737
Factor Arrows
37,450,579
Factor Arrows
37201,367
Factor Arrows
593,413

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, 37, 59, 3413

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 37 x 59 x 3,413 = 134,110,422

This can also be written as 21 x 32 x 371 x 591 x 3,4131 = 134,110,422

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


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