Factors of 105 that add upto 32

Steps to find factors of 105 that add upto 32

• Find all factors.
• Then we find the sum of combinations of factors.
• Note down the combination of factors with sum as 32, and read off the answer!

Steps to find Factors of 105

• Step 1. Find all the numbers that would divide 105 without leaving any remainder. Starting with the number 1 upto 52 (half of 105). The number 1 and the number itself are always factors of the given number.
  105 ÷ 1 : Remainder = 0

  105 ÷ 3 : Remainder = 0

  105 ÷ 5 : Remainder = 0

  105 ÷ 7 : Remainder = 0

  105 ÷ 15 : Remainder = 0

  105 ÷ 21 : Remainder = 0

  105 ÷ 35 : Remainder = 0

  105 ÷ 105 : Remainder = 0

Hence, Factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105

How can we define factors?

In mathematics a factor is that number which divides into another completely, i.e. leaving 0 as a remainder. Or we can say, any numbers when multiplied together to give a product are termed as the factors of that obtained product. It can be both positive or negative.

Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 5, 7, 15, 21, 35, 105 are exact divisors of 105.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 105 is a factor of itself.
• 1 is the common and smallest natural factor every number can have.
• Every factor of a number is less than or equal to the number, eg. 1, 3, 5, 7, 15, 21, 35, 105 are all less than or equal to 105.

Examples