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 1432, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1432 evenly are known as factors of 1432.
A factor of 1432 is a number that divides the number without a remainder.
The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, and 1432.
Negative factors of 1432: -1, -2, -4, -8, -179, -358, -716, and -1432.
Prime factors of 1432: 2 and 179.
Prime factorization of 1432: 2^3 × 179.
The sum of factors of 1432: 1 + 2 + 4 + 8 + 179 + 358 + 716 + 1432 = 2700
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 1432. Identifying the numbers which are multiplied to get the number 1432 is the multiplication method.
Step 1: Multiply 1432 by 1, 1432 × 1 = 1432.
Step 2: Check for other numbers that give 1432 after multiplying:
2 × 716 = 1432
4 × 358 = 1432
8 × 179 = 1432
Therefore, the positive factor pairs of 1432 are: (1, 1432), (2, 716), (4, 358), (8, 179).
All these factor pairs result in 1432.
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 a simple division method -
Step 1: Divide 1432 by 1, 1432 ÷ 1 = 1432.
Step 2: Continue dividing 1432 by the numbers until the remainder becomes 0.
1432 ÷ 1 = 1432
1432 ÷ 2 = 716
1432 ÷ 4 = 358
1432 ÷ 8 = 179
Therefore, the factors of 1432 are: 1, 2, 4, 8, 179, 358, 716, 1432.
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 1432 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1432 ÷ 2 = 716
716 ÷ 2 = 358
358 ÷ 2 = 179
179 ÷ 179 = 1
The prime factors of 1432 are 2 and 179.
The prime factorization of 1432 is: 2^3 × 179.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1432 is divided by 2 to get 716.
Step 2: Now divide 716 by 2 to get 358.
Step 3: Then divide 358 by 2 to get 179.
Here, 179 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1432 is: 2^3 × 179.
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 1432: (1, 1432), (2, 716), (4, 358), (8, 179).
Negative factor pairs of 1432: (-1, -1432), (-2, -716), (-4, -358), (-8, -179).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A group of friends wants to distribute 1432 candies equally. If each friend gets 179 candies, how many friends are there?
There are 8 friends.
To divide the candies equally, we need to divide the total candies by the number of candies per friend.
1432/179 = 8
A rectangular garden has a length of 8 meters and a total area of 1432 square meters. What is the width of the garden?
179 meters.
To find the width of the garden, we use the formula,
Area = length × width
1432 = 8 × width
To find the value of width, we need to shift 8 to the left side.
1432/8 = width
Width = 179.
There are 4 containers and 1432 liters of water. How many liters will be in each container?
Each container will have 358 liters.
To find the water in each container, divide the total water by the number of containers.
1432/4 = 358
A theater has 1432 seats and is divided into 2 sections. How many seats are there in each section?
There are 716 seats in each section.
Dividing the seats by the total sections, we will get the number of seats in each section.
1432/2 = 716
1432 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has 179 books.
Divide total books by shelves.
1432/8 = 179
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.