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 453, how they are used in real life, and tips to learn them quickly.
The numbers that divide 453 evenly are known as factors of 453.
A factor of 453 is a number that divides the number without remainder.
The factors of 453 are 1, 3, 151, and 453.
Negative factors of 453: -1, -3, -151, and -453.
Prime factors of 453: 3 and 151.
Prime factorization of 453: 3 × 151.
The sum of factors of 453: 1 + 3 + 151 + 453 = 608
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 453. Identifying the numbers which are multiplied to get the number 453 is the multiplication method.
Step 1: Multiply 453 by 1, 453 × 1 = 453.
Step 2: Check for other numbers that give 453 after multiplying 3 × 151 = 453
Therefore, the positive factor pairs of 453 are: (1, 453) and (3, 151). All these factor pairs result in 453.
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 a whole number as factors. Factors can be calculated by following a simple division method
Step 1: Divide 453 by 1, 453 ÷ 1 = 453.
Step 2: Continue dividing 453 by the numbers until the remainder becomes 0.
453 ÷ 1 = 453
453 ÷ 3 = 151
Therefore, the factors of 453 are: 1, 3, 151, and 453.
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 453 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
453 ÷ 3 = 151
151 is a prime number and cannot be further divided by any other number except 1 and 151 itself.
The prime factors of 453 are 3 and 151.
The prime factorization of 453 is: 3 × 151.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 453 is divided by 3 to get 151.
Step 2: 151 is a prime number and cannot be divided further.
So, the prime factorization of 453 is: 3 × 151.
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 453: (1, 453) and (3, 151).
Negative factor pairs of 453: (-1, -453) and (-3, -151).
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 3 teams and 453 marbles. How will they divide it equally?
They will get 151 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of teams.
453/3 = 151
A field is rectangular, the length of the field is 3 meters and the total area is 453 square meters. Find the width.
151 meters.
To find the width of the field, we use the formula,
Area = length × width
453 = 3 × width
To find the value of width, we need to divide 453 by 3.
453/3 = width
Width = 151.
There are 151 baskets and 453 apples. How many apples will be in each basket?
Each basket will have 3 apples.
To find the apples in each basket, divide the total apples by the baskets.
453/151 = 3
In a class, there are 453 students, and 3 groups. How many students are there in each group?
There are 151 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
453/3 = 151
453 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 151 books.
Divide total books by shelves.
453/3 = 151
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.