121 LearnersLast updated on May 26th, 2025
Factors of 222
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 222, how they are used in real life, and tips to learn them quickly.
What are the Factors of 222?
The numbers that divide 222 evenly are known as factors of 222.
A factor of 222 is a number that divides the number without remainder.
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, and 222.
Negative factors of 222: -1, -2, -3, -6, -37, -74, -111, and -222.
Prime factors of 222: 2, 3, and 37.
Prime factorization of 222: 2 × 3 × 37.
The sum of factors of 222: 1 + 2 + 3 + 6 + 37 + 74 + 111 + 222 = 456
How to Find Factors of 222?
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 222. Identifying the numbers which are multiplied to get the number 222 is the multiplication method.
Step 1: Multiply 222 by 1, 222 × 1 = 222.
Step 2: Check for other numbers that give 222 after multiplying
2 × 111 = 222
3 × 74 = 222
6 × 37 = 222
Therefore, the positive factor pairs of 222 are: (1, 222), (2, 111), (3, 74), (6, 37).
All these factor pairs result in 222.
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 222 by 1, 222 ÷ 1 = 222.
Step 2: Continue dividing 222 by the numbers until the remainder becomes 0.
222 ÷ 1 = 222
222 ÷ 2 = 111
222 ÷ 3 = 74
222 ÷ 6 = 37
Therefore, the factors of 222 are: 1, 2, 3, 6, 37, 74, 111, 222.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 222 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
The prime factors of 222 are 2, 3, and 37.
The prime factorization of 222 is: 2 × 3 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 222 is divided by 2 to get 111.
Step 2: Now divide 111 by 3 to get 37.
Here, 37 is the smallest prime number, that cannot be divided anymore
So, the prime factorization of 222 is: 2 × 3 × 37.
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 222: (1, 222), (2, 111), (3, 74), and (6, 37).
Negative factor pairs of 222: (-1, -222), (-2, -111), (-3, -74), and (-6, -37).
Common Mistakes and How to Avoid Them in Factors of 222
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 word. Always remember to include 1 and the number itself.
For example, in factors of 222, 1 and 222 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 222 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 222/1.5 = 148, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 222 are prime numbers. For example, 2, 3, and 37 are the prime factors of 222, but it has other factors like 6, 74.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 222 as 2 × 3 × 37 and missing all the key factors.
Factors of 222 Examples
Problem 1
There are 6 teams and 222 players. How will they divide it equally?
They will have 37 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
222/6 = 37
Problem 2
A field is rectangular, the length of the field is 37 meters and the total area is 222 square meters. Find the width?
6 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
222 = 37 × width
To find the value of width, we need to shift 37 to the left side.
222/37 = width
Width = 6.
Problem 3
There are 74 bags and 222 candies. How many candies will be in each bag?
Each bag will have 3 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
222/74 = 3
Problem 4
In a class, there are 222 students, and 3 groups. How many students are there in each group?
There are 74 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
222/3 = 74
Problem 5
222 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 111 books.
Explanation
Divide total books by shelves.
222/2 = 111
FAQs on Factors of 222
1.What are the factors of 222?
2.Mention the prime factors of 222.
3.Is 222 a multiple of 3?
4.Mention the factor pairs of 222?
5.What is the square of 222?
6.How can children in Philippines use numbers in everyday life to understand Factors of 222?
7.What are some fun ways kids in Philippines can practice Factors of 222 with numbers?
8.What role do numbers and Factors of 222 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 222 skills?
Important Glossaries for Factors of 222
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 222 are 1, 2, 3, 6, 37, 74, 111, and 222.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 37 are prime factors of 222.
- 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 222 are (1, 222), (2, 111), etc.
- Prime factorization: The process of breaking down a number into its prime components, such as 2 × 3 × 37 for 222.
- Negative factors: These are factors that are negative. For example, -1, -2, -3, etc., are negative factors of 222.
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About BrightChamps in Philippines
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.
