111 LearnersLast updated on May 26th, 2025
Factors of 653
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 653, how they are used in real life, and tips to learn them quickly.
What are the Factors of 653?
The numbers that divide 653 evenly are known as factors of 653. A factor of 653 is a number that divides the number without remainder. The factors of 653 are 1, 653.
Negative factors of 653: -1, -653.
Prime factors of 653: 653 (since it is a prime number).
Prime factorization of 653: Itself, as it is a prime number.
The sum of factors of 653: 1 + 653 = 654
How to Find Factors of 653?
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 653. Identifying numbers that are multiplied to get the number 653 is the multiplication method.
Step 1: Multiply 653 by 1, 653 × 1 = 653.
Since 653 is a prime number, no other multiplication pairs exist apart from (1, 653). Therefore, the positive factor pair of 653 is: (1, 653). 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 653 by 1, 653 ÷ 1 = 653.
Confirm that no other divisions result in a whole number without a remainder. Therefore, the factors of 653 are: 1, 653.
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: Since 653 is a prime number, it does not have any prime factors other than itself. The prime factorization of 653 is simply 653.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 653 is a prime number, it cannot be broken down further. The prime factorization of 653 is simply 653.
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 pair of 653: (1, 653).
- Negative factor pair of 653: (-1, -653).
Common Mistakes and How to Avoid Them in Factors of 653
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
People might forget to include the given number itself and 1 as factors. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself. For example, in factors of 653, 1 and 653 are also factors.
Factors of 653 Examples
Problem 1
There are 653 apples and 1 basket. How will they divide it equally?
All 653 apples will be in the basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
653/1 = 653
Problem 2
A rectangle has a length of 653 meters and a total area of 653 square meters. Find the width?
1 meter.
Explanation
To find the width of the rectangle, we use the formula,
Area = length × width
653 = 653 × width
To find the value of width, we need to shift 653 to the left side.
653/653 = width
Width = 1.
Problem 3
There are 653 chairs and 653 rooms. How many chairs will be in each room?
Each room will have 1 chair.
Explanation
To find the chairs in each room, divide the total chairs by the number of rooms.
653/653 = 1
Problem 4
A classroom has 653 students and 1 teacher. How many students are there per teacher?
There are 653 students per teacher.
Explanation
Dividing the number of students by the number of teachers,
we will get the number of students per teacher.
653/1 = 653
Problem 5
653 books need to be arranged on 1 shelf. How many books will go on each shelf?
All 653 books will be on the shelf.
Explanation
Divide the total books by the shelves.
653/1 = 653
FAQs on Factors of 653
1.What are the factors of 653?
2.Mention the prime factors of 653.
3.Is 653 a multiple of 1?
4.Mention the factor pairs of 653?
5.Is 653 a prime number?
Important Glossaries for Factors of 653
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 653 are 1 and 653.
- Prime factors: The factors which are prime numbers. For example, 653 itself is the prime factor of 653.
- 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 653 is (1, 653).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 653.
- Division method: A method to find factors by dividing the number by integers to see if the quotient is a whole number.
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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.
