Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 2 teams and 362 stickers. How will they divide them equally?
They will get 181 stickers each.
To divide the stickers equally, we need to divide the total stickers with the number of teams.
362/2 = 181
A rectangular garden has a length of 181 meters and a total area of 362 square meters. Find the width.
2 meters.
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.
There are 181 bags and 362 apples. How many apples will be in each bag?
Each bag will have 2 apples.
To find the apples in each bag, divide the total apples with the bags.
362/181 = 2
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.
Dividing the students with the total groups, we will get the number of students in each group.
362/2 = 181
362 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 181 books.
Divide total books with shelves.
362/2 = 181
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.
: She loves to read number jokes and games.