Factors of 108 that add upto 31

Steps to find factors of 108 that add upto 31

• Find all factors.
• Then we find the sum of combinations of factors.
• Note down the combination of factors with sum as 31, and read off the answer!

Steps to find Factors of 108

• Step 1. Find all the numbers that would divide 108 without leaving any remainder. Starting with the number 1 upto 54 (half of 108). The number 1 and the number itself are always factors of the given number.
  108 ÷ 1 : Remainder = 0

  108 ÷ 2 : Remainder = 0

  108 ÷ 3 : Remainder = 0

  108 ÷ 4 : Remainder = 0

  108 ÷ 6 : Remainder = 0

  108 ÷ 9 : Remainder = 0

  108 ÷ 12 : Remainder = 0

  108 ÷ 18 : Remainder = 0

  108 ÷ 27 : Remainder = 0

  108 ÷ 36 : Remainder = 0

  108 ÷ 54 : Remainder = 0

  108 ÷ 108 : Remainder = 0

Hence, Factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

• Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
• Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
• Every number is a factor of zero (0), since 108 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 are exact divisors of 108.

Examples