Q: What are the prime factors of the number 134,014,286?

 A: 2, 7, 317, 30197

Why are those the prime factors of the number 134,014,286?

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 134,014,286

134,014,286
Factor Arrows
267,007,143
Factor Arrows
79,572,449
Factor Arrows
31730,197

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, 317, 30197

We can check our work by multiplying all of the prime factors together: 2 x 7 x 317 x 30,197 = 134,014,286

This can also be written as 21 x 71 x 3171 x 30,1971 = 134,014,286

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


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