100 LearnersLast updated on May 26th, 2025
Factors of 1467
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 1467, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1467?
The numbers that divide 1467 evenly are known as factors of 1467.
A factor of 1467 is a number that divides the number without a remainder.
The factors of 1467 are 1, 3, 489, and 1467.
Negative factors of 1467: -1, -3, -489, and -1467.
Prime factors of 1467: 3 and 489.
Prime factorization of 1467: 3 × 489.
The sum of factors of 1467: 1 + 3 + 489 + 1467 = 1960
How to Find Factors of 1467?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1467. Identifying the numbers which are multiplied to get the number 1467 is the multiplication method.
Step 1: Multiply 1467 by 1, 1467 × 1 = 1467.
Step 2: Check for other numbers that give 1467 after multiplying
3 × 489 = 1467
Therefore, the positive factor pairs of 1467 are: (1, 1467) and (3, 489).
All these factor pairs result in 1467.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 the simple division method -
Step 1: Divide 1467 by 1, 1467 ÷ 1 = 1467.
Step 2: Continue dividing 1467 by the numbers until the remainder becomes 0.
1467 ÷ 1 = 1467
1467 ÷ 3 = 489
Therefore, the factors of 1467 are: 1, 3, 489, and 1467.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1467 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1467 ÷ 3 = 489
489 ÷ 3 = 163
The prime factors of 1467 are 3 and 489.
The prime factorization of 1467 is: 3 × 489.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1467 is divided by 3 to get 489.
Step 2: Now divide 489 by 3 to get 163.
Here, 163 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1467 is: 3 × 489.
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 1467: (1, 1467) and (3, 489).
Negative factor pairs of 1467: (-1, -1467) and (-3, -489).
Common Mistakes and How to Avoid Them in Factors of 1467
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 1467, 1 and 1467 are also factors.
Factors of 1467 Examples
Problem 1
There are 3 groups and 1467 apples. How will they divide it equally?
They will get 489 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of groups.
1467/3 = 489
Problem 2
A room is rectangular, the length of the room is 3 meters and the total area is 1467 square meters. Find the width?
489 meters.
Explanation
To find the width of the room, we use the formula,
Area = length × width
1467 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1467/3 = width
Width = 489.
Problem 3
There are 489 boxes and 1467 chocolates. How many chocolates will be in each box?
Each box will have 3 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the boxes.
1467/489 = 3
Problem 4
In a class, there are 1467 students, and 489 teams. How many students are there in each team?
There are 3 students in each team.
Explanation
Dividing the students with the total teams, we will get the number of students in each team.
1467/489 = 3
Problem 5
1467 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 489 books.
Explanation
Divide total books with shelves.
1467/3 = 489
FAQs on Factors of 1467
1.What are the factors of 1467?
2.Mention the prime factors of 1467.
3.Is 1467 a multiple of 3?
4.Mention the factor pairs of 1467?
5.What is the square of 1467?
6.How can children in Canada use numbers in everyday life to understand Factors of 1467?
7.What are some fun ways kids in Canada can practice Factors of 1467 with numbers?
8.What role do numbers and Factors of 1467 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1467 skills?
Important Glossaries for Factor of 1467
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1467 are 1, 3, 489, and 1467.
- Prime factors: The factors which are prime numbers. For example, 3 is a prime factor of 1467.
- 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 1467 are (1, 1467) and (3, 489).
- Prime factorization: Breaking down a composite number into a product of its prime factors. For example, 1467 can be expressed as 3 × 489.
- Multiple: A number that can be divided by another number without a remainder. For example, 1467 is a multiple of 3.
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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.
