Last updated on May 26th, 2025
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 452, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 452 evenly are known as factors of 452.
A factor of 452 is a number that divides the number without a remainder.
The factors of 452 are 1, 2, 4, 113, 226, and 452.
Negative factors of 452: -1, -2, -4, -113, -226, and -452.
Prime factors of 452: 2 and 113.
Prime factorization of 452: 2² × 113.
The sum of factors of 452: 1 + 2 + 4 + 113 + 226 + 452 = 798
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 452. Identifying the numbers which are multiplied to get the number 452 is the multiplication method.
Step 1: Multiply 452 by 1, 452 × 1 = 452.
Step 2: Check for other numbers that give 452 after multiplying
2 × 226 = 452
4 × 113 = 452
Therefore, the positive factor pairs of 452 are: (1, 452), (2, 226), (4, 113). All these factor pairs result in 452.
For every positive factor, there is a negative factor.
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 452 by 1, 452 ÷ 1 = 452.
Step 2: Continue dividing 452 by the numbers until the remainder becomes 0.
452 ÷ 1 = 452
452 ÷ 2 = 226
452 ÷ 4 = 113
Therefore, the factors of 452 are: 1, 2, 4, 113, 226, 452.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 452 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
452 ÷ 2 = 226
226 ÷ 2 = 113
113 ÷ 113 = 1
The prime factors of 452 are 2 and 113.
The prime factorization of 452 is: 2² × 113.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 452 is divided by 2 to get 226.
Step 2: Now divide 226 by 2 to get 113. Here, 113 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 452 is: 2² × 113.
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 452: (1, 452), (2, 226), (4, 113).
Negative factor pairs of 452: (-1, -452), (-2, -226), (-4, -113).
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 452 candies. How will they divide them equally?
They will get 226 candies each.
To divide the candies equally, we need to divide the total candies with the number of teams.
452/2 = 226
A field is rectangular, the length of the field is 4 meters and the total area is 452 square meters. Find the width?
113 meters.
To find the width of the field, we use the formula,
Area = length × width
452 = 4 × width
To find the value of width, we need to shift 4 to the left side.
452/4 = width
Width = 113.
There are 4 boxes and 452 apples. How many apples will be in each box?
Each box will have 113 apples.
To find the apples in each box, divide the total apples by the boxes.
452/4 = 113
In a class, there are 452 students, and 113 groups. How many students are there in each group?
There are 4 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
452/113 = 4
452 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 226 books.
Divide total books with shelves.
452/2 = 226
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.