# Factors of 1116

Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, and 1116

#### How to find factors of a number

 1.   Find factors of 1116 using Division Method 2.   Find factors of 1116 using Prime Factorization 3.   Find factors of 1116 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1116

• Divide 1116 by 1: 1116 ÷ 1 : Remainder = 0
• Divide 1116 by 2: 1116 ÷ 2 : Remainder = 0
• Divide 1116 by 3: 1116 ÷ 3 : Remainder = 0
• Divide 1116 by 4: 1116 ÷ 4 : Remainder = 0
• Divide 1116 by 6: 1116 ÷ 6 : Remainder = 0
• Divide 1116 by 9: 1116 ÷ 9 : Remainder = 0
• Divide 1116 by 12: 1116 ÷ 12 : Remainder = 0
• Divide 1116 by 18: 1116 ÷ 18 : Remainder = 0
• Divide 1116 by 31: 1116 ÷ 31 : Remainder = 0
• Divide 1116 by 36: 1116 ÷ 36 : Remainder = 0
• Divide 1116 by 62: 1116 ÷ 62 : Remainder = 0
• Divide 1116 by 93: 1116 ÷ 93 : Remainder = 0
• Divide 1116 by 124: 1116 ÷ 124 : Remainder = 0
• Divide 1116 by 186: 1116 ÷ 186 : Remainder = 0
• Divide 1116 by 279: 1116 ÷ 279 : Remainder = 0
• Divide 1116 by 372: 1116 ÷ 372 : Remainder = 0
• Divide 1116 by 558: 1116 ÷ 558 : Remainder = 0
• Divide 1116 by 1116: 1116 ÷ 1116 : Remainder = 0

Hence, Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, and 1116

#### 2. Steps to find factors of 1116 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 1116 using the division method, follow these steps:

• Step 1. Start dividing 1116 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 1116, which is 2. Divide 1116 by 2 to obtain the quotient (558).
1116 ÷ 2 = 558
• Step 3. Repeat step 1 with the obtained quotient (558).
558 ÷ 2 = 279
279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1

So, the prime factorization of 1116 is, 1116 = 2 x 2 x 3 x 3 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1116 as shown below:

So, the prime factorization of 1116 is, 1116 = 2 x 2 x 3 x 3 x 31.

#### 3. Find factors of 1116 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 1116 would be the two numbers which, when multiplied, give 1116 as the result.

The following table represents the calculation of factors of 1116 in pairs:

Factor Pair Pair Factorization
1 and 1116 1 x 1116 = 1116
2 and 558 2 x 558 = 1116
3 and 372 3 x 372 = 1116
4 and 279 4 x 279 = 1116
6 and 186 6 x 186 = 1116
9 and 124 9 x 124 = 1116
12 and 93 12 x 93 = 1116
18 and 62 18 x 62 = 1116
31 and 36 31 x 36 = 1116

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 1116. They are called negative pair factors.

Hence, the negative pairs of 1116 would be ( -1 , -1116 ) , ( -2 , -558 ) , ( -3 , -372 ) , ( -4 , -279 ) , ( -6 , -186 ) , ( -9 , -124 ) , ( -12 , -93 ) , ( -18 , -62 ) and ( -31 , -36 ) .

#### 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

• Each number is a factor of itself. Eg. 1116 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1116.
• Every number is a factor of zero (0), since 1116 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, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116 are exact divisors of 1116.
• Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. Each factor divides 1116 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116 are all less than or equal to 1116.

• Which is the smallest prime factor of 1116?

Smallest prime factor of 1116 is 2.

• Is 1116 a perfect square?

No 1116 is not a perfect square.

• What are five multiples of 1116?

First five multiples of 1116 are 2232, 3348, 4464, 5580, 6696.

• What is prime factorization of 1116?

Prime factorization of 1116 is 2 x 2 x 3 x 3 x 31.

• What are factors of 1116?

Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116.

• How do you find factors of a negative number? ( eg. -1116 )?

Factors of -1116 are -1, -2, -3, -4, -6, -9, -12, -18, -31, -36, -62, -93, -124, -186, -279, -372, -558, -1116.

• Is 1116 a whole number?

Yes 1116 is a whole number.

• Which is greatest factor of 1116?

The greatest factor of 1116 is 558.

• What are the prime factors of 1116?

The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116.
Prime factors of 1116 are 2, 2, 3, 3, 31.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 1116. Can you help her?

Prime factors of 1116 are 2, 2, 3, 3, 31.
Hence, the product of prime factors of 186.

Can you help Rubel to find out the product of the even factors of 1116?

Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116.
Even factors of 1116 are 2, 4, 6, 12, 18, 36, 62, 124, 186, 372, 558, 1116.
Hence, product of even factors of 1116 is; 2 x 4 x 6 x 12 x 18 x 36 x 62 x 124 x 186 x 372 x 558 x 1116 = 123641749499889840000.

Joy wants to calculate mean of all the factors of 1116. Help him in finding the mean of 1116.

Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1116 is 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 31 + 36 + 62 + 93 + 124 + 186 + 279 + 372 + 558 + 1116 = 2912.
Hence, the mean of factors of 1116 is 2912 ÷ 18 = 161.78.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1116? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116.
Negative factors are -1, -2, -3, -4, -6, -9, -12, -18, -31, -36, -62, -93, -124, -186, -279, -372, -558, -1116.

How many factors are there for 1116?

Factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116.
So there are in total 18 factors.

Joey wants to write all the prime factors of 1116 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1116 are 2, 2, 3, 3, 31.
So in exponential form it can be written as 22 x 32 x 31.

Kevin has been asked to write 17 factor(s) of 1116. Can you predict the answer?

17 factor(s) of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558.