125 LearnersLast updated on May 26th, 2025
Factors of 362
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 362, how they are used in real life, and tips to learn them quickly.
What are the Factors of 362?
The numbers that divide 362 evenly are known as factors of 362. A factor of 362 is a number that divides the number without remainder.
The factors of 362 are 1, 2, 181, and 362.
Negative factors of 362: -1, -2, -181, and -362.
Prime factors of 362: 2 and 181.
Prime factorization of 362: 2 × 181.
The sum of factors of 362: 1 + 2 + 181 + 362 = 546
How to Find Factors of 362?
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 362. Identifying the numbers that are multiplied to get the number 362 is the multiplication method.
Step 1: Multiply 362 by 1, 362 × 1 = 362.
Step 2: Check for other numbers that give 362 after multiplying 2 × 181 = 362
Therefore, the positive factor pairs of 362 are: (1, 362) and (2, 181). All these factor pairs result in 362. 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 the simple division method
Step 1: Divide 362 by 1, 362 ÷ 1 = 362.
Step 2: Continue dividing 362 by the numbers until the remainder becomes 0.
362 ÷ 1 = 362
362 ÷ 2 = 181
Therefore, the factors of 362 are: 1, 2, 181, 362.
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 362 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
362 ÷ 2 = 181
181 ÷ 181 = 1
The prime factors of 362 are 2 and 181.
The prime factorization of 362 is: 2 × 181.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 362 is divided by 2 to get 181. Here, 181 is a prime number that cannot be divided anymore. So, the prime factorization of 362 is: 2 × 181.
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 362: (1, 362) and (2, 181).
Negative factor pairs of 362: (-1, -362) and (-2, -181).
Common Mistakes and How to Avoid Them in Factors of 362
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 362, 1 and 362 are also factors.
Mistake 2
Missing Negative Factors
We have used to mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 362 consist of -1, -2, -181, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 362/1.5 = 241.333, 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 362 are prime numbers. For example, 2 and 181 are the prime factors of 362, but it also has other factors like 1 and 362.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 362 as 2 × 181 and missing all the key factors.
Factors of 362 Examples
Problem 1
There are 2 teams and 362 stickers. How will they divide them equally?
They will get 181 stickers each.
Explanation
To divide the stickers equally, we need to divide the total stickers with the number of teams.
362/2 = 181
Problem 2
A rectangular garden has a length of 181 meters and a total area of 362 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
362 = 181 × width
To find the value of width, we need to shift 181 to the left side.
362/181 = width
Width = 2.
Problem 3
There are 181 bags and 362 apples. How many apples will be in each bag?
Each bag will have 2 apples.
Explanation
To find the apples in each bag, divide the total apples with the bags.
362/181 = 2
Problem 4
In a class, there are 362 students, and 2 groups. How many students are there in each group?
There are 181 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
362/2 = 181
Problem 5
362 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 181 books.
Explanation
Divide total books with shelves.
362/2 = 181
FAQs on Factors of 362
1.What are the factors of 362?
2.Mention the prime factors of 362.
3.Is 362 a multiple of 2?
4.Mention the factor pairs of 362?
5.What is the square of 362?
6.How can children in United States use numbers in everyday life to understand Factors of 362?
7.What are some fun ways kids in United States can practice Factors of 362 with numbers?
8.What role do numbers and Factors of 362 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 362 skills?
Important Glossaries for Factor of 362
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 362 are 1, 2, 181, and 362.
- Prime factors: The factors which are prime numbers. For example, 2 and 181 are prime factors of 362.
- 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 362 are (1, 362) and (2, 181).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 362 is 2 × 181.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the target number, such as 2 × 181 for 362.
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About BrightChamps in United States
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.
