Factors of 11

2. Steps to find factors of 11 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 11 using the division method, follow these steps:

• Step 1. Start dividing 11 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 11, which is 11. Divide 11 by 11 to obtain the quotient (1).
  11 ÷ 11 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

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

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 11 as shown below:

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

3. Find factors of 11 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 11 would be the two numbers which, when multiplied, give 11 as the result.

The following table represents the calculation of factors of 11 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 11. They are called negative pair factors.

Hence, the negative pairs of 11 would be ( -1 , -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 number is a factor of zero (0), since 11 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, 11 are exact divisors of 11.
• Factors of 11 are 1, 11. Each factor divides 11 without leaving a remainder.

Frequently Asked Questions

• What two numbers make 11?

  Two numbers that make 11 are 11 and 1.

• What is prime factorization of 11?

  Prime factorization of 11 is 11.

• Write some multiples of 11?

  First five multiples of 11 are 22, 33, 44, 55.

• Which is the smallest prime factor of 11?

  The smallest prime factor of 11 is 11.

• Is 11 a perfect square?

  No 11 is not a perfect square.

• What is the sum of all factors of 11?

  The sum of all factors of 11 is 12.

• What are factors of 11?

  Factors of 11 are 1, 11.

• How do you find factors of a negative number? ( eg. -11 )?

  Factors of -11 are -1, -11.

• Is 11 a whole number?

  Yes 11 is a whole number.

Examples of Factors