101 LearnersLast updated on May 26th, 2025
Factors of 1116
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1116, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1116?
The numbers that divide 1116 evenly are known as factors of 1116.
A factor of 1116 is a number that divides the number without remainder.
The factors of 1116 are 1, 2, 3, 4, 6, 12, 93, 186, 279, 372, 558, and 1116.
Negative factors of 1116: -1, -2, -3, -4, -6, -12, -93, -186, -279, -372, -558, and -1116.
Prime factors of 1116: 2 and 3.
Prime factorization of 1116: 2² × 3 × 31.
The sum of factors of 1116: 1 + 2 + 3 + 4 + 6 + 12 + 93 + 186 + 279 + 372 + 558 + 1116 = 2632
How to Find Factors of 1116?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1116. Identifying the numbers which are multiplied to get the number 1116 is the multiplication method.
Step 1: Multiply 1116 by 1, 1116 × 1 = 1116.
Step 2: Check for other numbers that give 1116 after multiplying
2 × 558 = 1116
3 × 372 = 1116
4 × 279 = 1116
6 × 186 = 1116
12 × 93 = 1116
Therefore, the positive factor pairs of 1116 are: (1, 1116), (2, 558), (3, 372), (4, 279), (6, 186), (12, 93).
All these factor pairs result in 1116.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1116 by 1, 1116 ÷ 1 = 1116.
Step 2: Continue dividing 1116 by the numbers until the remainder becomes 0.
1116 ÷ 1 = 1116
1116 ÷ 2 = 558
1116 ÷ 3 = 372
1116 ÷ 4 = 279
1116 ÷ 6 = 186
1116 ÷ 12 = 93
Therefore, the factors of 1116 are: 1, 2, 3, 4, 6, 12, 93, 186, 279, 372, 558, 1116.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1116 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1116 ÷ 2 = 558
558 ÷ 2 = 279
279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
The prime factors of 1116 are 2, 3, and 31.
The prime factorization of 1116 is: 2² × 3 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1116 is divided by 2 to get 558.
Step 2: Now divide 558 by 2 to get 279.
Step 3: Then divide 279 by 3 to get 93.
Step 4: Divide 93 by 3 to get 31. Here, 31 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1116 is: 2² × 3 × 31.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1116: (1, 1116), (2, 558), (3, 372), (4, 279), (6, 186), and (12, 93).
Negative factor pairs of 1116: (-1, -1116), (-2, -558), (-3, -372), (-4, -279), (-6, -186), and (-12, -93).
Common Mistakes and How to Avoid Them in Factors of 1116
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1116, 1 and 1116 are also factors.
Factors of 1116 Examples
Problem 1
There are 12 teams and 1116 players. How will they be divided equally into teams?
Each team will have 93 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
1116/12 = 93
Problem 2
A rectangular garden has a length of 31 meters and a total area of 1116 square meters. Find the width.
36 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1116 = 31 × width
To find the value of width, we need to shift 31 to the left side.
1116/31 = width
Width = 36.
Problem 3
There are 186 sandwiches and 1116 slices of bread. How many slices of bread does each sandwich require?
Each sandwich requires 6 slices of bread.
Explanation
To find the slices of bread per sandwich, divide the total slices by the sandwiches.
1116/186 = 6
Problem 4
There are 93 baskets and 1116 apples. How many apples are there in each basket?
There are 12 apples in each basket.
Explanation
Dividing the apples by the total baskets, we will get the number of apples in each basket.
1116/93 = 12
Problem 5
1116 pages need to be printed into 279 booklets. How many pages will go into each booklet?
Each booklet will have 4 pages.
Explanation
Divide total pages by booklets.
1116/279 = 4
FAQs on Factors of 1116
1.What are the factors of 1116?
2.Mention the prime factors of 1116.
3.Is 1116 a multiple of 4?
4.Mention the factor pairs of 1116?
5.What is the square of 1116?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1116?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1116 with numbers?
8.What role do numbers and Factors of 1116 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1116 skills?
Important Glossaries for Factors of 1116
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1116 are 1, 2, 3, 4, 6, 12, 93, 186, 279, 372, 558, and 1116.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 31 are prime factors of 1116.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1116 are (1, 1116), (2, 558), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1116 is 2² × 3 × 31.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the target number, such as (2, 558) for 1116.
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About BrightChamps in United Arab Emirates
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
