# Factors of 1081

Factors of 1081 are 1, 23, 47, and 1081

#### How to find factors of a number

 1.   Find factors of 1081 using Division Method 2.   Find factors of 1081 using Prime Factorization 3.   Find factors of 1081 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1081

• Divide 1081 by 1: 1081 ÷ 1 : Remainder = 0
• Divide 1081 by 23: 1081 ÷ 23 : Remainder = 0
• Divide 1081 by 47: 1081 ÷ 47 : Remainder = 0
• Divide 1081 by 1081: 1081 ÷ 1081 : Remainder = 0

Hence, Factors of 1081 are 1, 23, 47, and 1081

#### 2. Steps to find factors of 1081 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 1081 using the division method, follow these steps:

• Step 1. Start dividing 1081 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 1081, which is 23. Divide 1081 by 23 to obtain the quotient (47).
1081 ÷ 23 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
47 ÷ 47 = 1

So, the prime factorization of 1081 is, 1081 = 23 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1081 as shown below:

So, the prime factorization of 1081 is, 1081 = 23 x 47.

#### 3. Find factors of 1081 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 1081 would be the two numbers which, when multiplied, give 1081 as the result.

The following table represents the calculation of factors of 1081 in pairs:

Factor Pair Pair Factorization
1 and 1081 1 x 1081 = 1081
23 and 47 23 x 47 = 1081

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 1081. They are called negative pair factors.

Hence, the negative pairs of 1081 would be ( -1 , -1081 ) , ( -23 , -47 ) .

#### 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, 23, 47, 1081 are exact divisors of 1081.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1081 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1081.

• What are the prime factors of 1081?

The factors of 1081 are 1, 23, 47, 1081.
Prime factors of 1081 are 23, 47.

• What is the sum of all factors of 1081?

The sum of all factors of 1081 is 1152.

• What are the pair factors of 1081?

Pair factors of 1081 are (1,1081), (23,47).

• What two numbers make 1081?

Two numbers that make 1081 are 23 and 47.

• What are multiples of 1081?

First five multiples of 1081 are 2162, 3243, 4324, 5405.

• Is 1081 a perfect square?

No 1081 is not a perfect square.

• Which is greatest factor of 1081?

The greatest factor of 1081 is 47.

• How do you factors of 1081?

Factors of 1081 are 1, 23, 47, 1081.

• What are five multiples of 1081?

First five multiples of 1081 are 2162, 3243, 4324, 5405, 6486.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 1081?

Factors of 1081 are 1, 23, 47, 1081.
Even factors of 1081 are 0.
Hence, product of even factors of 1081 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1081? Help her in writing all the factors.

Positive factors are 1, 23, 47, 1081.
Negative factors are -1, -23, -47, -1081.

How many factors are there for 1081?

Factors of 1081 are 1, 23, 47, 1081.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 1081. Can you help him find them?

Factors of 1081 are 1, 23, 47, 1081.
Prime factors of 1081 are 23, 47

Joey wants to write all the prime factors of 1081 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1081 are 23, 47.
So in exponential form it can be written as 23 x 47.

What is prime factorization of 1081?

Prime factorization of 1081 is 23 x 47 = 23 x 47.

Can you help Rubel to find out the product of the even factors of 1081?

Factors of 1081 are 1, 23, 47, 1081.
Even factors of 1081 are 0.
Hence, product of even factors of 1081 is; 0 = 0.