Q: What are the prime factors of the number 103,206?

 A: 2, 3, 103, 167

Why are those the prime factors of the number 103,206?

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 103,206

103,206
Factor Arrows
251,603
Factor Arrows
317,201
Factor Arrows
103167

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, 103, 167

We can check our work by multiplying all of the prime factors together: 2 x 3 x 103 x 167 = 103,206

This can also be written as 21 x 31 x 1031 x 1671 = 103,206

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


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