100 LearnersLast updated on May 26th, 2025
Factors of 1468
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 1468, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1468?
The numbers that divide 1468 evenly are known as factors of 1468.
A factor of 1468 is a number that divides the number without remainder.
The factors of 1468 are 1, 2, 4, 367, 734, and 1468.
Negative factors of 1468: -1, -2, -4, -367, -734, and -1468.
Prime factors of 1468: 2 and 367.
Prime factorization of 1468: 2² × 367.
The sum of factors of 1468: 1 + 2 + 4 + 367 + 734 + 1468 = 2576
How to Find Factors of 1468?
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 1468. Identifying the numbers which are multiplied to get the number 1468 is the multiplication method.
Step 1: Multiply 1468 by 1, 1468 × 1 = 1468.
Step 2: Check for other numbers that give 1468 after multiplying
2 × 734 = 1468
4 × 367 = 1468
Therefore, the positive factor pairs of 1468 are: (1, 1468), (2, 734), and (4, 367).
All these factor pairs result in 1468.
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 a simple division method:
Step 1: Divide 1468 by 1, 1468 ÷ 1 = 1468.
Step 2: Continue dividing 1468 by the numbers until the remainder becomes 0.
1468 ÷ 1 = 1468
1468 ÷ 2 = 734
1468 ÷ 4 = 367
Therefore, the factors of 1468 are: 1, 2, 4, 367, 734, 1468.
Prime Factors and Prime Factorization
The factors can be found by dividing by 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 1468 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1468 ÷ 2 = 734
734 ÷ 2 = 367
367 is a prime number.
The prime factors of 1468 are 2 and 367.
The prime factorization of 1468 is: 2² × 367.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1468 is divided by 2 to get 734.
Step 2: Now divide 734 by 2 to get 367.
367 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1468 is: 2² × 367.
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 1468: (1, 1468), (2, 734), (4, 367).
Negative factor pairs of 1468: (-1, -1468), (-2, -734), (-4, -367).
Common Mistakes and How to Avoid Them in Factors of 1468
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 factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 1468, 1 and 1468 are also factors.
Factors of 1468 Examples
Problem 1
There are 367 apples and 4 baskets. How will they divide them equally?
They will get 91.75 apples each, but since apples can't be divided into fractions, they can have only whole apples, so each basket will have 91 apples, and there will be 3 apples left.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
367/4 = 91 R3
Problem 2
A rectangular garden has a length of 4 meters and an area of 1468 square meters. Find the width.
367 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1468 = 4 × width
To find the value of width, we need to shift 4 to the left side.
1468/4 = width
Width = 367.
Problem 3
There are 734 candies and 2 jars. How many candies will be in each jar?
Each jar will have 367 candies.
Explanation
To find the candies in each jar, divide the total candies by the jars.
734/2 = 367
Problem 4
In a school, there are 1468 students, and 367 classes. How many students are there in each class?
There are 4 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1468/367 = 4
Problem 5
1468 books need to be arranged in 367 shelves. How many books will go on each shelf?
Each of the shelves has 4 books.
Explanation
Divide total books by shelves.
1468/367 = 4
FAQs on Factors of 1468
1.What are the factors of 1468?
2.Mention the prime factors of 1468.
3.Is 1468 a multiple of 4?
4.Mention the factor pairs of 1468?
5.What is the square of 1468?
Important Glossaries for Factor of 1468
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1468 are 1, 2, 4, 367, 734, and 1468.
- Prime factors: The factors which are prime numbers. For example, 2 and 367 are prime factors of 1468.
- 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 1468 are (1, 1468), (2, 734), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1468 is 2² × 367.
- Remainder: The number that is left after division when one number does not divide another exactly. In factorization, a remainder of zero indicates a factor.
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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.
