How to find the Factors of 12

  • 12 is a composite number.
  • Prime factorization: 12 = 2x2x3, which can be written 12 = 22x31
  • 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