Factors of 9801 that add upto 198

Steps to find factors of 9801 that add upto 198

• Find all factors.
• Then we find the sum of combinations of factors.
• Note down the combination of factors with sum as 198, and read off the answer!

Steps to find Factors of 9801

• Step 1. Find all the numbers that would divide 9801 without leaving any remainder. Starting with the number 1 upto 4900 (half of 9801). The number 1 and the number itself are always factors of the given number.
  9801 ÷ 1 : Remainder = 0

  9801 ÷ 3 : Remainder = 0

  9801 ÷ 9 : Remainder = 0

  9801 ÷ 11 : Remainder = 0

  9801 ÷ 27 : Remainder = 0

  9801 ÷ 33 : Remainder = 0

  9801 ÷ 81 : Remainder = 0

  9801 ÷ 99 : Remainder = 0

  9801 ÷ 121 : Remainder = 0

  9801 ÷ 297 : Remainder = 0

  9801 ÷ 363 : Remainder = 0

  9801 ÷ 891 : Remainder = 0

  9801 ÷ 1089 : Remainder = 0

  9801 ÷ 3267 : Remainder = 0

  9801 ÷ 9801 : Remainder = 0

Hence, Factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, and 9801

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, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801 are exact divisors of 9801.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 9801 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, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801 are all less than or equal to 9801.

Examples