Factors of 121 in pair

Steps to find factors of 121 in pair

• Find all the numbers that would divide 121 without leaving any remainder. Starting with the number 1 upto 60 (half of 121). The number 1 and the number itself are always factors of the given number.
• Pair the factors so that their product is 121, and read off the answer!

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 121. They are called negative pair factors.

Hence, the negative pairs of 121 would be ( -1 , -121 ) .

Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 121 are 1 , 11 , 121. So, factors of 121 in pair are (1,121), (11,11).

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that 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, 11, 121 are exact divisors of 121.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 121 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 121.

Steps to find Factors of 121

• Step 1. Find all the numbers that would divide 121 without leaving any remainder. Starting with the number 1 upto 60 (half of 121). The number 1 and the number itself are always factors of the given number.
  121 ÷ 1 : Remainder = 0

  121 ÷ 11 : Remainder = 0

  121 ÷ 121 : Remainder = 0

Hence, Factors of 121 are 1, 11, and 121

Frequently Asked Questions

• Is there any even prime factor of 121?

  No there is no even prime factor, i.e. 2, of 121.

• What is the mean of all prime factors of 121?

  Factors of 121 are 1 , 11 , 121. Prime factors of 121 are 11 , 11. Therefore mean of prime factors of 121 is (11 + 11) / 2 = 11.00.

• What is the mean of factors of 121?

  Factors of 121 are 1 , 11 , 121. therefore mean of factors of 121 is (1 + 11 + 121) / 3 = 44.33.

• What do you mean by proper divisors?

  A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

  An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors