101 LearnersLast updated on May 26th, 2025
Factors of 1088
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 1088, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1088?
The numbers that divide 1088 evenly are known as factors of 1088.
A factor of 1088 is a number that divides the number without a remainder.
The factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, and 1088.
Negative factors of 1088: -1, -2, -4, -8, -16, -17, -32, -34, -64, -68, -136, -272, -544, and -1088.
Prime factors of 1088: 2 and 17.
Prime factorization of 1088: 2^5 × 17.
The sum of factors of 1088: 1 + 2 + 4 + 8 + 16 + 17 + 32 + 34 + 64 + 68 + 136 + 272 + 544 + 1088 = 2286
How to Find Factors of 1088?
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 1088. Identifying the numbers which are multiplied to get the number 1088 is the multiplication method.
Step 1: Multiply 1088 by 1, 1088 × 1 = 1088.
Step 2: Check for other numbers that give 1088 after multiplying
2 × 544 = 1088
4 × 272 = 1088
8 × 136 = 1088
16 × 68 = 1088
17 × 64 = 1088
32 × 34 = 1088
Therefore, the positive factor pairs of 1088 are: (1, 1088), (2, 544), (4, 272), (8, 136), (16, 68), (17, 64), (32, 34).
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 1088 by 1, 1088 ÷ 1 = 1088.
Step 2: Continue dividing 1088 by the numbers until the remainder becomes 0.
1088 ÷ 1 = 1088
1088 ÷ 2 = 544
1088 ÷ 4 = 272
1088 ÷ 8 = 136
1088 ÷ 16 = 68
1088 ÷ 17 = 64
1088 ÷ 32 = 34
Therefore, the factors of 1088 are: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088.
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 1088 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1088 ÷ 2 = 544
544 ÷ 2 = 272
272 ÷ 2 = 136
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
The prime factors of 1088 are 2 and 17.
The prime factorization of 1088 is: 2^5 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1088 is divided by 2 to get 544.
Step 2: Now divide 544 by 2 to get 272.
Step 3: Then divide 272 by 2 to get 136.
Step 4: Divide 136 by 2 to get 68.
Step 5: Divide 68 by 2 to get 34.
Step 6: Divide 34 by 2 to get 17.
Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1088 is: 2^5 × 17.
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 1088: (1, 1088), (2, 544), (4, 272), (8, 136), (16, 68), (17, 64), (32, 34).
Negative factor pairs of 1088: (-1, -1088), (-2, -544), (-4, -272), (-8, -136), (-16, -68), (-17, -64), (-32, -34).
Common Mistakes and How to Avoid Them in Factors of 1088
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 1088, 1 and 1088 are also factors.
Factors of 1088 Examples
Problem 1
There are 34 students and 1088 textbooks. How will they distribute them equally?
They will get 32 textbooks each.
Explanation
To divide the textbooks equally, we need to divide the total textbooks by the number of students.
1088/34 = 32
Problem 2
A garden is rectangular, the length of the garden is 68 meters and the total area is 1088 square meters. Find the width?
16 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1088 = 68 × width
To find the value of width, we need to shift 68 to the left side.
1088/68 = width
Width = 16.
Problem 3
There are 8 baskets and 1088 apples. How many apples will be in each basket?
Each basket will have 136 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1088/8 = 136
Problem 4
In a class, there are 17 rows of desks, and 1088 students. How many students are there in each row?
There are 64 students in each row.
Explanation
Dividing the students by the total rows, we will get the number of students in each row.
1088/17 = 64
Problem 5
1088 books need to be arranged in 16 shelves. How many books will go on each shelf?
Each of the shelves has 68 books.
Explanation
Divide the total books by shelves.
1088/16 = 68
FAQs on Factors of 1088
1.What are the factors of 1088?
2.Mention the prime factors of 1088.
3.Is 1088 a multiple of 4?
4.Mention the factor pairs of 1088?
5.What is the square of 1088?
6.How can children in Australia use numbers in everyday life to understand Factors of 1088?
7.What are some fun ways kids in Australia can practice Factors of 1088 with numbers?
8.What role do numbers and Factors of 1088 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1088 skills?
Important Glossaries for Factors of 1088
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088.
- Prime factors: The factors which are prime numbers. For example, 2 and 17 are prime factors of 1088.
- 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 1088 are (1, 1088), (2, 544), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1088 is 2^5 × 17.
- Negative factors: Factors that are negative numbers. For example, -1, -2, -4, -8, etc., are negative factors of 1088.
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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.
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