# Factors of 1183

Factors of 1183 are 1, 7, 13, 91, 169, and 1183

#### How to find factors of a number

 1.   Find factors of 1183 using Division Method 2.   Find factors of 1183 using Prime Factorization 3.   Find factors of 1183 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1183

• Divide 1183 by 1: 1183 ÷ 1 : Remainder = 0
• Divide 1183 by 7: 1183 ÷ 7 : Remainder = 0
• Divide 1183 by 13: 1183 ÷ 13 : Remainder = 0
• Divide 1183 by 91: 1183 ÷ 91 : Remainder = 0
• Divide 1183 by 169: 1183 ÷ 169 : Remainder = 0
• Divide 1183 by 1183: 1183 ÷ 1183 : Remainder = 0

Hence, Factors of 1183 are 1, 7, 13, 91, 169, and 1183

#### 2. Steps to find factors of 1183 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 1183 using the division method, follow these steps:

• Step 1. Start dividing 1183 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 1183, which is 7. Divide 1183 by 7 to obtain the quotient (169).
1183 ÷ 7 = 169
• Step 3. Repeat step 1 with the obtained quotient (169).
169 ÷ 13 = 13
13 ÷ 13 = 1

So, the prime factorization of 1183 is, 1183 = 7 x 13 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1183 as shown below:

So, the prime factorization of 1183 is, 1183 = 7 x 13 x 13.

#### 3. Find factors of 1183 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 1183 would be the two numbers which, when multiplied, give 1183 as the result.

The following table represents the calculation of factors of 1183 in pairs:

Factor Pair Pair Factorization
1 and 1183 1 x 1183 = 1183
7 and 169 7 x 169 = 1183
13 and 91 13 x 91 = 1183

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 1183. They are called negative pair factors.

Hence, the negative pairs of 1183 would be ( -1 , -1183 ) , ( -7 , -169 ) and ( -13 , -91 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 1183 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, 7, 13, 91, 169, 1183 are exact divisors of 1183.
• Factors of 1183 are 1, 7, 13, 91, 169, 1183. Each factor divides 1183 without leaving a remainder.

• Is 1183 a perfect square?

No 1183 is not a perfect square.

• What are factors of 1183?

Factors of 1183 are 1, 7, 13, 91, 169, 1183.

• Which is greatest factor of 1183?

The greatest factor of 1183 is 169.

• What is the sum of all factors of 1183?

The sum of all factors of 1183 is 1464.

• What are multiples of 1183?

First five multiples of 1183 are 2366, 3549, 4732, 5915.

• What is the greatest prime factors of 1183?

The greatest prime factor of 1183 is 13.

• What are six multiples of 1183?

First five multiples of 1183 are 2366, 3549, 4732, 5915, 7098, 8281.

• What is prime factorization of 1183?

Prime factorization of 1183 is 7 x 13 x 13.

• Is 1183 a whole number?

Yes 1183 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1183? Help her in writing all the factors.

Positive factors are 1, 7, 13, 91, 169, 1183.
Negative factors are -1, -7, -13, -91, -169, -1183.

Can you help Sammy find out the product of the odd factors of 1183?

Factors of 1183 are 1, 7, 13, 91, 169, 1183.
Odd factors of 1183 are 1, 7, 13, 91, 169, 1183.
Hence product of odd factors of 1183 is; 1 x 7 x 13 x 91 x 169 x 1183 = 1655595487.

Joey wants to write all the prime factors of 1183 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1183 are 7, 13, 13.
So in exponential form it can be written as 7 x 132.

How many factors are there for 1183?

Factors of 1183 are 1, 7, 13, 91, 169, 1183.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 1183. Can you predict the answer?

5 factor(s) of 1183 are 1, 7, 13, 91, 169.

Sammy is puzzled while calculating the prime factors of 1183. Can you help him find them?

Factors of 1183 are 1, 7, 13, 91, 169, 1183.
Prime factors of 1183 are 7, 13, 13

What is prime factorization of 1183?

Prime factorization of 1183 is 7 x 13 x 13 = 7 x 132.