104 LearnersLast updated on May 26th, 2025
Factors of 1112
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 1112, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1112?
The numbers that divide 1112 evenly are known as factors of 1112.
A factor of 1112 is a number that divides the number without remainder.
The factors of 1112 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 112, 124, 217, 248, 434, 556, and 1112.
Negative factors of 1112: -1, -2, -4, -7, -8, -14, -28, -31, -56, -62, -112, -124, -217, -248, -434, -556, and -1112.
Prime factors of 1112: 2, 7, and 31.
Prime factorization of 1112: 2³ × 7 × 31.
The sum of factors of 1112: 1 + 2 + 4 + 7 + 8 + 14 + 28 + 31 + 56 + 62 + 112 + 124 + 217 + 248 + 434 + 556 + 1112 = 2927
How to Find Factors of 1112?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1112. Identifying the numbers which are multiplied to get the number 1112 is the multiplication method.
Step 1: Multiply 1112 by 1, 1112 × 1 = 1112.
Step 2: Check for other numbers that give 1112 after multiplying
2 × 556 = 1112
4 × 278 = 1112
7 × 159 = 1112
8 × 139 = 1112
14 × 79.4286 ≈ 1112 (not a factor)
28 × 39.7143 ≈ 1112 (not a factor)
31 × 35.8709 ≈ 1112 (not a factor)
Therefore, the positive factor pairs of 1112 are: (1, 1112), (2, 556), (4, 278), (7, 159), (8, 139), (14, 79), (28, 39), (31, 36).
All these factor pairs result in 1112.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 1112 by 1, 1112 ÷ 1 = 1112.
Step 2: Continue dividing 1112 by the numbers until the remainder becomes 0.
1112 ÷ 1 = 1112
1112 ÷ 2 = 556
1112 ÷ 4 = 278
1112 ÷ 7 = 159
1112 ÷ 8 = 139
Therefore, the factors of 1112 are: 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 112, 124, 217, 248, 434, 556, 1112.
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 1112 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1112 ÷ 2 = 556
556 ÷ 2 = 278
278 ÷ 2 = 139
139 ÷ 7 = 19.8571 (not a factor)
139 ÷ 31 = 4.4839 (not a factor)
The prime factors of 1112 are 2, 7, and 31.
The prime factorization of 1112 is: 2³ × 7 × 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, 1112 is divided by 2 to get 556.
Step 2: Now divide 556 by 2 to get 278.
Step 3: Then divide 278 by 2 to get 139.
Step 4: Divide 139 by 31 to get 4.4839 (not a factor). Here, 31 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1112 is: 2³ × 7 × 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 1112: (1, 1112), (2, 556), (4, 278), (7, 159), (8, 139), (14, 79), (28, 39), (31, 36).
Negative factor pairs of 1112: (-1, -1112), (-2, -556), (-4, -278), (-7, -159), (-8, -139), (-14, -79), (-28, -39), (-31, -36).
Common Mistakes and How to Avoid Them in Factors of 1112
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 1112, 1 and 1112 are also factors.
Factors of 1112 Examples
Problem 1
There are 8 friends and 1112 candies. How will they divide it equally?
They will get 139 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1112/8 = 139
Problem 2
A garden is rectangular, the length of the garden is 14 meters and the total area is 1112 square meters. Find the width?
79 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1112 = 14 × width
To find the value of width, we need to shift 14 to the left side.
1112/14 = width
Width = 79.
Problem 3
There are 31 bags and 1112 marbles. How many marbles will be in each bag?
Each bag will have 36 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
1112/31 = 36
Problem 4
In a class, there are 1112 students, and 56 groups. How many students are there in each group?
There are 19 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1112/56 = 19
Problem 5
1112 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has 139 books.
Explanation
Divide total books with shelves.
1112/8 = 139
FAQs on Factors of 1112
1.What are the factors of 1112?
2.Mention the prime factors of 1112.
3.Is 1112 a multiple of 4?
4.Mention the factor pairs of 1112?
5.What is the square of 1112?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1112?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1112 with numbers?
8.What role do numbers and Factors of 1112 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 1112 skills?
Important Glossaries for Factors of 1112
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1112 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 112, 124, 217, 248, 434, 556, and 1112.
- Prime factors: The factors which are prime numbers. For example, 2, 7, and 31 are prime factors of 1112.
- 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 1112 are (1, 1112), (2, 556), etc.
- Multiple: A multiple is a number that can be divided by another number without leaving a remainder. For example, 1112 is a multiple of 4.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1112 is 2³ × 7 × 31.
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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.
