Q: What are the prime factors of the number 134,533,206?

 A: 2, 3, 17, 83, 5297

Why are those the prime factors of the number 134,533,206?

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 134,533,206

134,533,206
Factor Arrows
267,266,603
Factor Arrows
322,422,201
Factor Arrows
37,474,067
Factor Arrows
17439,651
Factor Arrows
835,297

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, 17, 83, 5297

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 83 x 5,297 = 134,533,206

This can also be written as 21 x 32 x 171 x 831 x 5,2971 = 134,533,206

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


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