Factors of 1044
2026-02-28 00:47 Diff
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Last updated on December 12, 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 1044, how they are used in real life, and tips to learn them quickly.

What are the Factors of 1044?

The numbers that divide 1044 evenly are known as factors of 1044.

A factor of 1044 is a number that divides the number without remainder.

The factors of 1044 are 1, 2, 3, 4, 6, 12, 87, 174, 261, 348, 522, and 1044.

Negative factors of 1044: -1, -2, -3, -4, -6, -12, -87, -174, -261, -348, -522, and -1044.

Prime factors of 1044: 2 and 3.

Prime factorization of 1044: 2² × 3 × 87.

The sum of factors of 1044: 1 + 2 + 3 + 4 + 6 + 12 + 87 + 174 + 261 + 348 + 522 + 1044 = 2464

How to Find Factors of 1044?

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 1044. Identifying the numbers which are multiplied to get the number 1044 is the multiplication method.

Step 1: Multiply 1044 by 1, 1044 × 1 = 1044.

Step 2: Check for other numbers that give 1044 after multiplying:     

2 × 522 = 1044     

3 × 348 = 1044     

4 × 261 = 1044     

6 × 174 = 1044     

12 × 87 = 1044

Therefore, the positive factor pairs of 1044 are: (1, 1044), (2, 522), (3, 348), (4, 261), (6, 174), and (12, 87). 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 1044 by 1, 1044 ÷ 1 = 1044.

Step 2: Continue dividing 1044 by the numbers until the remainder becomes 0.

1044 ÷ 1 = 1044

1044 ÷ 2 = 522

1044 ÷ 3 = 348

1044 ÷ 4 = 261

1044 ÷ 6 = 174

1044 ÷ 12 = 87

Therefore, the factors of 1044 are: 1, 2, 3, 4, 6, 12, 87, 174, 261, 348, 522, 1044.

Prime Factors and Prime Factorization

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 1044 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

1044 ÷ 2 = 522

522 ÷ 2 = 261

261 ÷ 3 = 87

87 ÷ 3 = 29

29 ÷ 29 = 1

The prime factors of 1044 are 2, 3, and 29.

The prime factorization of 1044 is: 2² × 3 × 29.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 1044 is divided by 2 to get 522.

Step 2: Now divide 522 by 2 to get 261.

Step 3: Then divide 261 by 3 to get 87.

Step 4: Divide 87 by 3 to get 29. Here, 29 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1044 is: 2² × 3 × 29.

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 1044: (1, 1044), (2, 522), (3, 348), (4, 261), (6, 174), (12, 87).

Negative factor pairs of 1044: (-1, -1044), (-2, -522), (-3, -348), (-4, -261), (-6, -174), (-12, -87).

Common Mistakes and How to Avoid Them in Factors of 1044

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

A farmer has 1044 apples and wants to create baskets with an equal number of apples in each. If he uses 12 baskets, how many apples will be in each basket?

Okay, lets begin

Each basket will have 87 apples.

Explanation

To divide the apples equally, we need to divide the total apples by the number of baskets.

1044/12 = 87

Well explained 👍

Problem 2

A rectangular garden has an area of 1044 square meters with a length of 87 meters. What is the width of the garden?

Okay, lets begin

12 meters.

Explanation

To find the width of the garden, we use the formula,    

 Area = length × width     

1044 = 87 × width

To find the value of width, we need to shift 87 to the left side.     

1044/87 = width     

Width = 12.

Well explained 👍

Problem 3

A baker is packing 1044 cookies into boxes, with each box holding 6 cookies. How many boxes are needed?

Okay, lets begin

174 boxes are needed.

Explanation

To find the number of boxes, divide the total cookies by the number of cookies per box.     

1044/6 = 174

Well explained 👍

Problem 4

There are 522 students participating in a competition, and they are divided into groups of 2. How many groups are there?

Okay, lets begin

There are 261 groups.

Explanation

Dividing the students with the total group size, we will get the number of groups.     

522/2 = 261

Well explained 👍

Problem 5

A library has 348 books that need to be placed on 3 shelves. How many books will go on each shelf?

Okay, lets begin

Each shelf will have 116 books.

Explanation

Divide the total books by the number of shelves.     

348/3 = 116

Well explained 👍

FAQs on Factors of 1044

1.What are the factors of 1044?

1, 2, 3, 4, 6, 12, 87, 174, 261, 348, 522, 1044 are the factors of 1044.

2.Mention the prime factors of 1044.

The prime factors of 1044 are 2² × 3 × 29.

3.Is 1044 a multiple of 6?

4.Mention the factor pairs of 1044?

(1, 1044), (2, 522), (3, 348), (4, 261), (6, 174), and (12, 87) are the factor pairs of 1044.

5.What is the square of 1044?

The square of 1044 is 1,089,936.

Important Glossaries for Factors of 1044

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1044 are 1, 2, 3, 4, 6, 12, 87, 174, 261, 348, 522, and 1044.
  • Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 1044.
  • Prime factorization: The expression of a number as the product of its prime factors. For instance, the prime factorization of 1044 is 2² × 3 × 29.
  • 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 1044 are (1, 1044), (2, 522), etc.
  • Multiple: A number that can be divided by another number without a remainder. For example, 1044 is a multiple of 6.

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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.