114 LearnersLast updated on May 26th, 2025
Factors of 202
Factors are the numbers that divide any given number evenly without a 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 202, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 202?
The numbers that divide 202 evenly are known as factors of 202.
A factor of 202 is a number that divides the number without a remainder.The factors of 202 are 1, 2, 101, and 202.
Negative factors of 202: -1, -2, -101, and -202.
Prime factors of 202: 2 and 101.
Prime factorization of 202: 2 × 101.
The sum of factors of 202: 1 + 2 + 101 + 202 = 306
How to Find Factors of 202?
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 202. Identifying the numbers that are multiplied to get the number 202 is the multiplication method.
Step 1: Multiply 202 by 1, 202 × 1 = 202.
Step 2: Check for other numbers that give 202 after multiplying
2 × 101 = 202
Therefore, the positive factor pairs of 202 are (1, 202) and (2, 101).
All these factor pairs result in 202.
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 202 by 1, 202 ÷ 1 = 202.
Step 2: Continue dividing 202 by the numbers until the remainder becomes 0.
202 ÷ 1 = 202
202 ÷ 2 = 101
Therefore, the factors of 202 are: 1, 2, 101, 202.
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 202 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
202 ÷ 2 = 101
101 ÷ 101 = 1
The prime factors of 202 are 2 and 101.
The prime factorization of 202 is: 2 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 202 is divided by 2 to get 101.
Step 2: 101 is a prime number, so it cannot be divided further.
So, the prime factorization of 202 is: 2 × 101.
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 202: (1, 202) and (2, 101).
- Negative factor pairs of 202: (-1, -202) and (-2, -101).
Common Mistakes and How to Avoid Them in Factors of 202
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 202, 1 and 202 are also factors.
Factors of 202 Examples
Problem 1
There are 2 teams and 202 soccer balls. How will they divide them equally?
They will get 101 soccer balls each.
Explanation
To divide the soccer balls equally, we need to divide the total soccer balls with the number of teams.
202/2 = 101
Problem 2
A rectangular plot has an area of 202 square meters, and its length is 2 meters. What is the width?
101 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
202 = 2 × width
To find the value of width, we need to shift 2 to the left side.
202/2 = width
Width = 101.
Problem 3
There are 101 cartons and 202 apples. How many apples will be in each carton?
Each carton will have 2 apples.
Explanation
To find the apples in each carton, divide the total apples by the number of cartons.
202/101 = 2
Problem 4
In a conference, there are 202 participants, and they are divided into 2 groups. How many participants are there in each group?
There are 101 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
202/2 = 101
Problem 5
202 bricks need to be stacked in 101 towers. How many bricks will be in each tower?
Each of the towers has 2 bricks.
Explanation
Divide total bricks by the number of towers.
202/101 = 2
FAQs on Factors of 202
1.What are the factors of 202?
2.Mention the prime factors of 202.
3.Is 202 a multiple of 2?
4.Mention the factor pairs of 202?
5.What is the square of 202?
Important Glossaries for Factors of 202
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 202 are 1, 2, 101, and 202.
- Prime factors: The factors which are prime numbers. For example, 2 and 101 are prime factors of 202.
- 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 202 are (1, 202) and (2, 101).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 202 is 2 × 101.
- Multiple: A number that can be divided by another number without a remainder. For example, 202 is a multiple of 2.
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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.
