117 LearnersLast updated on May 26th, 2025
Factors of 1760
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 1760, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1760?
The numbers that divide 1760 evenly are known as factors of 1760.
A factor of 1760 is a number that divides the number without remainder.
The factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, and 1760.
Negative factors of 1760: -1, -2, -4, -5, -8, -10, -11, -16, -20, -22, -32, -40, -44, -55, -80, -88, -110, -160, -176, -220, -352, -440, -880, and -1760.
Prime factors of 1760: 2, 5, and 11.
Prime factorization of 1760: 24 × 5 × 11.
The sum of factors of 1760: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 16 + 20 + 22 + 32 + 40 + 44 + 55 + 80 + 88 + 110 + 160 + 176 + 220 + 352 + 440 + 880 + 1760 = 4968
How to Find Factors of 1760?
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 1760. Identifying the numbers which are multiplied to get the number 1760 is the multiplication method.
Step 1: Multiply 1760 by 1, 1760 × 1 = 1760.
Step 2: Check for other numbers that give 1760 after multiplying
2 × 880 = 1760
4 × 440 = 1760
5 × 352 = 1760
8 × 220 = 1760
10 × 176 = 1760
11 × 160 = 1760
16 × 110 = 1760
20 × 88 = 1760
22 × 80 = 1760
32 × 55 = 1760
40 × 44 = 1760
Therefore, the positive factor pairs of 1760 are: (1, 1760), (2, 880), (4, 440), (5, 352), (8, 220), (10, 176), (11, 160), (16, 110), (20, 88), (22, 80), (32, 55), (40, 44).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1760 by 1, 1760 ÷ 1 = 1760.
Step 2: Continue dividing 1760 by the numbers until the remainder becomes 0.
1760 ÷ 1 = 1760
1760 ÷ 2 = 880
1760 ÷ 4 = 440
1760 ÷ 5 = 352
1760 ÷ 8 = 220
1760 ÷ 10 = 176
1760 ÷ 11 = 160
1760 ÷ 16 = 110
1760 ÷ 20 = 88
1760 ÷ 22 = 80
1760 ÷ 32 = 55
1760 ÷ 40 = 44
Therefore, the factors of 1760 are: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760.
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 1760 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1760 ÷ 2 = 880
880 ÷ 2 = 440
440 ÷ 2 = 220
220 ÷ 2 = 110
110 ÷ 5 = 22
22 ÷ 11 = 2
The prime factors of 1760 are 2, 5, and 11.
The prime factorization of 1760 is: 24 × 5 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1760 is divided by 2 to get 880.
Step 2: Now divide 880 by 2 to get 440.
Step 3: Then divide 440 by 2 to get 220.
Step 4: Divide 220 by 2 to get 110.
Step 5: Divide 110 by 5 to get 22.
Step 6: Divide 22 by 11 to get 2. Here, 2 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1760 is: 24 × 5 × 11.
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 1760: (1, 1760), (2, 880), (4, 440), (5, 352), (8, 220), (10, 176), (11, 160), (16, 110), (20, 88), (22, 80), (32, 55), (40, 44).
Negative factor pairs of 1760: (-1, -1760), (-2, -880), (-4, -440), (-5, -352), (-8, -220), (-10, -176), (-11, -160), (-16, -110), (-20, -88), (-22, -80), (-32, -55), (-40, -44).
Common Mistakes and How to Avoid Them in Factors of 1760
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1760, 1 and 1760 is also a factor.
Factors of 1760 Examples
Problem 1
There are 16 teams and 1760 points. How will they share it equally?
Each team will get 110 points.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
1760/16 = 110
Problem 2
A rectangular garden has a length of 40 meters and the total area is 1760 square meters. Find the width?
44 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1760 = 40 × width
To find the value of width, we need to shift 40 to the left side.
1760/40 = width
Width = 44.
Problem 3
There are 88 boxes and 1760 apples. How many apples will be in each box?
Each box will have 20 apples.
Explanation
To find the apples in each box, divide the total apples with the boxes.
1760/88 = 20
Problem 4
In a school, there are 1760 students, and 110 classrooms. How many students are there in each classroom?
There are 16 students in each classroom.
Explanation
Dividing the students with the total classrooms, we will get the number of students in each classroom.
1760/110 = 16
Problem 5
1760 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 160 books.
Explanation
Divide total books with shelves.
1760/11 = 160
FAQs on Factors of 1760
1.What are the factors of 1760?
2.Mention the prime factors of 1760.
3.Is 1760 a multiple of 11?
4.Mention the factor pairs of 1760?
5.What is the square of 1760?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1760?
7.What are some fun ways kids in Bahrain can practice Factors of 1760 with numbers?
8.What role do numbers and Factors of 1760 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1760 skills?
Important Glossaries for Factor of 1760
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 11 are prime factors of 1760.
- 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 1760 are (1, 1760), (2, 880), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1760 is 24 × 5 × 11.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1760 is a multiple of 11.
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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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