Factors of 121

2. Steps to find factors of 121 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 121 using the division method, follow these steps:

• Step 1. Start dividing 121 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 121, which is 11. Divide 121 by 11 to obtain the quotient (11).
  121 ÷ 11 = 11
• Step 3. Repeat step 1 with the obtained quotient (11).
  11 ÷ 11 = 1

So, the prime factorization of 121 is, 121 = 11 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 121 as shown below:

So, the prime factorization of 121 is, 121 = 11 x 11.

3. Find factors of 121 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 121 would be the two numbers which, when multiplied, give 121 as the result.

The following table represents the calculation of factors of 121 in pairs:

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 ) , ( -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.

Frequently Asked Questions

• Is 121 a perfect square?

  Yes 121 is a perfect square.

• What are factors of 121?

  Factors of 121 are 1, 11, 121.

• Which is greatest factor of 121?

  The greatest factor of 121 is 11.

• What is the sum of all factors of 121?

  The sum of all factors of 121 is 133.

• What are multiples of 121?

  First five multiples of 121 are 242, 363, 484, 605.

• What is the greatest prime factors of 121?

  The greatest prime factor of 121 is 11.

• What are six multiples of 121?

  First five multiples of 121 are 242, 363, 484, 605, 726, 847.

• What is prime factorization of 121?

  Prime factorization of 121 is 11 x 11.

• Is 121 a whole number?

  Yes 121 is a whole number.

Examples of Factors