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100 LearnersLast updated on April 15th, 2025
Factors of 1153
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 1153, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1153?
The numbers that divide 1153 evenly are known as factors of 1153. A factor of 1153 is a number that divides the number without remainder. The factors of 1153 are 1 and 1153 itself, as 1153 is a prime number.
Negative factors of 1153: -1 and -1153.
Prime factors of 1153: 1153 itself, as it is a prime number.
Prime factorization of 1153: 1153.
The sum of factors of 1153: 1 + 1153 = 1154.
How to Find Factors of 1153?
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 pairs of numbers that are multiplied to give 1153. Since 1153 is a prime number, it only has trivial multiplication pairs.
Step 1: Multiply 1153 by 1, 1153 × 1 = 1153.
Since no other multiplication pairs exist besides (1, 1153), the positive factor pairs of 1153 are: (1, 1153). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1153 by 1, 1153 ÷ 1 = 1153.
Step 2: Continue dividing 1153 by numbers greater than 1, but since 1153 is prime, no other divisions will result in whole numbers.
Therefore, the factors of 1153 are: 1 and 1153.
Prime Factors and Prime Factorization
The factors can be found by dividing 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, since 1153 is a prime number, it does not break down further into other prime factors. The prime factorization of 1153 is simply: 1153.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. For 1153, since it is a prime number, it does not break down further. Therefore, the prime factorization of 1153 remains as: 1153.
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 1153: (1, 1153).
- Negative factor pairs of 1153: (-1, -1153).
Common Mistakes and How to Avoid Them in Factors of 1153
Factors of 1153 Examples
Problem 1
There are 1,153 books in a library. If each shelf holds 1 book, how many shelves are needed?
Explanation
Problem 2
A garden is rectangular, with a length of 1,153 meters and a total area of 1,153 square meters. What is the width of the garden?
Explanation
Problem 3
There are 1153 apples to be packed in bags, with each bag containing 1 apple. How many bags are needed?
Explanation
Problem 4
In a festival, there are 1,153 participants, and each participant receives 1 gift. How many gifts are needed?
Explanation
Problem 5
A company has 1,153 employees, and each employee is assigned 1 workstation. How many workstations are required?
Explanation
FAQs on Factors of 1153
1.What are the factors of 1153?
2.Mention the prime factors of 1153.
3.Is 1153 a multiple of 2?
4.Mention the factor pairs of 1153.
5.What is the square of 1153?
Important Glossaries for Factor of 1153
- Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 1153 are 1 and 1153.
- Prime factors: The factors which are prime numbers. For 1153, as it is a prime number, the prime factor is 1153 itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1153 is (1, 1153).
- Prime number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 1153 is a prime number.
- Divisibility: A number is divisible by another if it can be divided evenly without a remainder. For example, 1153 is divisible by 1 and 1153.
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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
: She loves to read number jokes and games.
