115 LearnersLast updated on May 26th, 2025
Factors of 633
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 633, how they are used in real life, and tips to learn them quickly.
What are the Factors of 633?
The numbers that divide 633 evenly are known as factors of 633. A factor of 633 is a number that divides the number without remainder. The factors of 633 are 1, 3, 211, and 633.
Negative factors of 633: -1, -3, -211, and -633.
Prime factors of 633: 3 and 211.
Prime factorization of 633: 3 × 211.
The sum of factors of 633: 1 + 3 + 211 + 633 = 848
How to Find Factors of 633?
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 633. Identifying the numbers which are multiplied to get the number 633 is the multiplication method.
Step 1: Multiply 633 by 1, 633 × 1 = 633.
Step 2: Check for other numbers that give 633 after multiplying 3 × 211 = 633
Therefore, the positive factor pairs of 633 are: (1, 633) and (3, 211).
All these factor pairs result in 633. 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 a simple division method -
Step 1: Divide 633 by 1, 633 ÷ 1 = 633.
Step 2: Continue dividing 633 by the numbers until the remainder becomes 0.
633 ÷ 1 = 633
633 ÷ 3 = 211
Therefore, the factors of 633 are: 1, 3, 211, and 633.
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 633 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
633 ÷ 3 = 211
211 ÷ 211 = 1
The prime factors of 633 are 3 and 211.
The prime factorization of 633 is: 3 × 211.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 633 is divided by 3 to get 211.
Step 2: Now divide 211 by 211 to get 1. Here, 211 is a prime number that cannot be divided further. So, the prime factorization of 633 is: 3 × 211.
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 633: (1, 633) and (3, 211).
- Negative factor pairs of 633: (-1, -633) and (-3, -211).
Common Mistakes and How to Avoid Them in Factors of 633
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 whole number. Always remember to include 1 and the number itself. For example, in factors of 633, 1 and 633 are also factors.
Factors of 633 Examples
Problem 1
There are 3 groups and 633 candies. How will they divide them equally?
They will get 211 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of groups.
633/3 = 211
Problem 2
A rectangular banner has a length of 3 meters and the total area is 633 square meters. Find the width?
211 meters.
Explanation
To find the width of the banner, we use the formula,
Area = length × width
633 = 3 × width
To find the value of width, we need to shift 3 to the left side.
633/3 = width
Width = 211.
Problem 3
There are 211 bags and 633 apples. How many apples will be in each bag?
Each bag will have 3 apples.
Explanation
To find the apples in each bag, divide the total apples by the bags.
633/211 = 3
Problem 4
In a school, there are 633 students, and 211 teams. How many students are there in each team?
There are 3 students in each team.
Explanation
Dividing the students by the total teams, we will get the number of students in each team.
633/211 = 3
Problem 5
633 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 211 books.
Explanation
Divide total books by shelves.
633/3 = 211
FAQs on Factors of 633
1.What are the factors of 633?
2.Mention the prime factors of 633.
3.Is 633 a multiple of 3?
4.Mention the factor pairs of 633?
5.What is the square of 633?
Important Glossaries for Factors of 633
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 633 are 1, 3, 211, and 633.
- Prime factors: The factors which are prime numbers. For example, 3 and 211 are prime factors of 633.
- 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 633 are (1, 633) and (3, 211).
- Prime factorization: Breaking down a number into a product of prime numbers. For instance, the prime factorization of 633 is 3 × 211.
- Multiplication method: Identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method for 633, we find (3, 211) as a factor pair.
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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.
