103 LearnersLast updated on May 26th, 2025
Factors of 1120
Factors are the numbers that divide any given number evenly without a 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 1120, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1120?
The numbers that divide 1120 evenly are known as factors of 1120.
A factor of 1120 is a number that divides the number without a remainder.
The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, and 1120.
Negative factors of 1120: -1, -2, -4, -5, -7, -8, -10, -14, -16, -20, -28, -35, -40, -56, -70, -80, -112, -140, -160, -224, -280, -560, and -1120.
Prime factors of 1120: 2, 5, and 7.
Prime factorization of 1120: 25 × 5 × 7.
The sum of factors of 1120: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 35 + 40 + 56 + 70 + 80 + 112 + 140 + 160 + 224 + 280 + 560 + 1120 = 3048
How to Find Factors of 1120?
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 1120. Identifying the numbers that are multiplied to get the number 1120 is the multiplication method.
Step 1: Multiply 1120 by 1, 1120 × 1 = 1120.
Step 2: Check for other numbers that give 1120 after multiplying
2 × 560 = 1120
4 × 280 = 1120
5 × 224 = 1120
7 × 160 = 1120
8 × 140 = 1120
10 × 112 = 1120
14 × 80 = 1120
16 × 70 = 1120
20 × 56 = 1120
28 × 40 = 1120
Therefore, the positive factor pairs of 1120 are: (1, 1120), (2, 560), (4, 280), (5, 224), (7, 160), (8, 140), (10, 112), (14, 80), (16, 70), (20, 56), (28, 40).
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 1120 by 1, 1120 ÷ 1 = 1120.
Step 2: Continue dividing 1120 by the numbers until the remainder becomes 0.
1120 ÷ 1 = 1120
1120 ÷ 2 = 560
1120 ÷ 4 = 280
1120 ÷ 5 = 224
1120 ÷ 7 = 160
1120 ÷ 8 = 140
1120 ÷ 10 = 112
1120 ÷ 14 = 80
1120 ÷ 16 = 70
1120 ÷ 20 = 56
1120 ÷ 28 = 40
Therefore, the factors of 1120 are: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120.
Prime Factors and Prime Factorization
The factors can be found by dividing them with a prime number. 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 1120 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1120 ÷ 2 = 560
560 ÷ 2 = 280
280 ÷ 2 = 140
140 ÷ 2 = 70
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of 1120 are 2, 5, and 7.
The prime factorization of 1120 is: 25 × 5 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1120 is divided by 2 to get 560.
Step 2: Now divide 560 by 2 to get 280.
Step 3: Then divide 280 by 2 to get 140.
Step 4: Divide 140 by 2 to get 70.
Step 5: Divide 70 by 2 to get 35.
Step 6: Divide 35 by 5 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1120 is: 25 × 5 × 7.
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 1120: (1, 1120), (2, 560), (4, 280), (5, 224), (7, 160), (8, 140), (10, 112), (14, 80), (16, 70), (20, 56), (28, 40).
Negative factor pairs of 1120: (-1, -1120), (-2, -560), (-4, -280), (-5, -224), (-7, -160), (-8, -140), (-10, -112), (-14, -80), (-16, -70), (-20, -56), (-28, -40).
Common Mistakes and How to Avoid Them in Factors of 1120
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 1120, 1 and 1120 are also factors.
Factors of 1120 Examples
Problem 1
There are 16 friends and 1120 candies. How will they divide it equally?
They will get 70 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1120/16 = 70
Problem 2
A field is rectangular, the length of the field is 32 meters and the total area is 1120 square meters. Find the width?
35 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width 1120 = 32 × width
To find the value of width, we need to shift 32 to the left side.
1120/32 = width
Width = 35.
Problem 3
There are 28 bags and 1120 marbles. How many marbles will be in each bag?
Each bag will have 40 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
1120/28 = 40
Problem 4
In a class, there are 1120 students, and 8 groups. How many students are there in each group?
There are 140 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1120/8 = 140
Problem 5
1120 books need to be arranged in 35 shelves. How many books will go on each shelf?
Each of the shelves has 32 books.
Explanation
Divide the total books by the number of shelves.
1120/35 = 32
FAQs on Factors of 1120
1.What are the factors of 1120?
2.Mention the prime factors of 1120.
3.Is 1120 a multiple of 8?
4.Mention the factor pairs of 1120?
5.What is the square of 1120?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1120?
7.What are some fun ways kids in Vietnam can practice Factors of 1120 with numbers?
8.What role do numbers and Factors of 1120 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1120 skills?
Important Glossaries for Factors of 1120
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, and 1120.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 1120.
- 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 1120 are (1, 1120), (2, 560), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1120 can be expressed as 25 × 5 × 7.
- Multiple: A number that can be divided by another number without a remainder. For example, 1120 is a multiple of 8.
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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
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