## How to find the Factors of 12

**12**is a composite number.-
Prime factorization:
**12**= 2x2x3, which can be written**12**= 2^{2}x3^{1} - The exponents in the prime factorization are 2 and 1.
Adding one to each exponent and multiplying we get
(2 + 1)(1 + 1) = 3x2 = 6.
Therefore
**12**has exactly**6**factors. - The factors of
**12**are: 1, 2, 3, 4, 6 and 12 - Factor pairs of
**12**are: 1x12, 2x6 and 3x4 -
**12**has at least one exponent greater than 1 in its prime factorization so**√12**can be simplified. Taking this into account, we get**√12**= 2x√3