100 LearnersLast updated on May 26th, 2025
Factors of 1288
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 1288, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1288?
The numbers that divide 1288 evenly are known as factors of 1288.
A factor of 1288 is a number that divides the number without remainder.
The factors of 1288 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 322, 644, and 1288.
Negative factors of 1288: -1, -2, -4, -8, -11, -22, -29, -44, -58, -88, -116, -232, -322, -644, and -1288.
Prime factors of 1288: 2, 11, and 29.
Prime factorization of 1288: 2³ × 11 × 29.
The sum of factors of 1288: 1 + 2 + 4 + 8 + 11 + 22 + 29 + 44 + 58 + 88 + 116 + 232 + 322 + 644 + 1288 = 2869
How to Find Factors of 1288?
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 1288. Identifying the numbers which are multiplied to get the number 1288 is the multiplication method.
Step 1: Multiply 1288 by 1, 1288 × 1 = 1288.
Step 2: Check for other numbers that give 1288 after multiplying:
2 × 644 = 1288
4 × 322 = 1288
8 × 161 = 1288
11 × 116 = 1288
22 × 58 = 1288
29 × 44 = 1288
Therefore, the positive factor pairs of 1288 are: (1, 1288), (2, 644), (4, 322), (8, 161), (11, 116), (22, 58), and (29, 44).
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 the simple division method:
Step 1: Divide 1288 by 1, 1288 ÷ 1 = 1288.
Step 2: Continue dividing 1288 by the numbers until the remainder becomes 0.
1288 ÷ 1 = 1288
1288 ÷ 2 = 644
1288 ÷ 4 = 322
1288 ÷ 8 = 161
1288 ÷ 11 = 116
1288 ÷ 22 = 58
1288 ÷ 29 = 44
Therefore, the factors of 1288 are: 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 322, 644, 1288.
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 1288 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1288 ÷ 2 = 644
644 ÷ 2 = 322
322 ÷ 2 = 161
161 ÷ 11 = 14.636 (does not divide evenly)
161 ÷ 29 = 5.552 (does not divide evenly)
161 ÷ 29 = 5.55172413793
5 ÷ 5 = 1
The prime factors of 1288 are 2, 11, and 29.
The prime factorization of 1288 is: 2³ × 11 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1288 is divided by 2 to get 644.
Step 2: Now divide 644 by 2 to get 322.
Step 3: Then divide 322 by 2 to get 161.
Step 4: Divide 161 by 11 to get 14.636 (does not divide evenly).
Step 5: Divide 161 by 29 to get 5.55172413793
Here, 29 is a prime number and cannot be divided anymore.
So, the prime factorization of 1288 is: 2³ × 11 × 29.
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 1288: (1, 1288), (2, 644), (4, 322), (8, 161), (11, 116), (22, 58), and (29, 44).
Negative factor pairs of 1288: (-1, -1288), (-2, -644), (-4, -322), (-8, -161), (-11, -116), (-22, -58), and (-29, -44).
Common Mistakes and How to Avoid Them in Factors of 1288
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 1288, 1 and 1288 are also factors.
Factors of 1288 Examples
Problem 1
A garden has 322 flowers and 1288 leaves. How many leaves are there per flower?
There are 4 leaves per flower.
Explanation
To find the number of leaves per flower, divide the total leaves by the number of flowers.
1288/322 = 4
Problem 2
A rectangular room has a length of 58 meters and a total area of 1288 square meters. Find the width.
The width is 22 meters.
Explanation
To find the width of the room, use the formula,
Area = length × width
1288 = 58 × width
Shift 58 to the left side,
1288/58 = width
Width = 22.
Problem 3
There are 8 teams and 1288 points. How many points does each team have?
Each team has 161 points.
Explanation
To find the points per team, divide the total points by the number of teams.
1288/8 = 161
Problem 4
1288 books need to be arranged in 29 shelves. How many books will go on each shelf?
Each shelf will have 44 books.
Explanation
Divide total books by shelves.
1288/29 = 44
Problem 5
A farmer has 116 pieces of land and 1288 trees. How many trees go on each piece of land?
Each piece of land has 11 trees.
Explanation
Divide the total number of trees by the number of pieces of land.
1288/116 = 11
FAQs on Factors of 1288
1.What are the factors of 1288?
2.Mention the prime factors of 1288.
3.Is 1288 a multiple of 4?
4.Mention the factor pairs of 1288?
5.What is the square of 1288?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1288?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1288 with numbers?
8.What role do numbers and Factors of 1288 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 1288 skills?
Important Glossaries for Factors of 1288
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1288 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 322, 644, and 1288.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 29 are prime factors of 1288.
- 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 1288 are (1, 1288), (2, 644), (4, 322), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1288 is 2³ × 11 × 29.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 1288 is a multiple of 4.
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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.
