Factors of 1467
2026-02-28 10:46 Diff
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Last updated on December 15, 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 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

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.

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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: 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.

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Problem 1

There are 3 groups and 1467 apples. How will they divide it equally?

Okay, lets begin

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

Well explained 👍

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?

Okay, lets begin

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.

Well explained 👍

Problem 3

There are 489 boxes and 1467 chocolates. How many chocolates will be in each box?

Okay, lets begin

Each box will have 3 chocolates.

Explanation

To find the chocolates in each box, divide the total chocolates by the boxes.

1467/489 = 3

Well explained 👍

Problem 4

In a class, there are 1467 students, and 489 teams. How many students are there in each team?

Okay, lets begin

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

Well explained 👍

Problem 5

1467 books need to be arranged in 3 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 489 books.

Explanation

Divide total books with shelves.

1467/3 = 489

Well explained 👍

FAQs on Factors of 1467

1.What are the factors of 1467?

1, 3, 489, and 1467 are the factors of 1467.

2.Mention the prime factors of 1467.

The prime factors of 1467 are 3 × 489.

3.Is 1467 a multiple of 3?

4.Mention the factor pairs of 1467?

(1, 1467) and (3, 489) are the factor pairs of 1467.

5.What is the square of 1467?

The square of 1467 is 2,152,089.

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.