Factors of 1002
2026-02-28 08:37 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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1002, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 1002?

The numbers that divide 1002 evenly are known as factors of 1002.

A factor of 1002 is a number that divides the number without remainder.

The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, and 1002.

Negative factors of 1002: -1, -2, -3, -6, -167, -334, -501, and -1002.

Prime factors of 1002: 2, 3, and 167.

Prime factorization of 1002: 2 × 3 × 167.

The sum of factors of 1002: 1 + 2 + 3 + 6 + 167 + 334 + 501 + 1002 = 2016

How to Find Factors of 1002?

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 1002. Identifying the numbers which are multiplied to get the number 1002 is the multiplication method.

Step 1: Multiply 1002 by 1, 1002 × 1 = 1002.

Step 2: Check for other numbers that give 1002 after multiplying     

2 × 501 = 1002     

3 × 334 = 1002     

6 × 167 = 1002

Therefore, the positive factor pairs of 1002 are: (1, 1002), (2, 501), (3, 334), (6, 167).

All these factor pairs result in 1002.

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 1002 by 1, 1002 ÷ 1 = 1002.

Step 2: Continue dividing 1002 by the numbers until the remainder becomes 0.

1002 ÷ 1 = 1002

1002 ÷ 2 = 501

1002 ÷ 3 = 334

1002 ÷ 6 = 167

Therefore, the factors of 1002 are: 1, 2, 3, 6, 167, 334, 501, 1002.

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 1002 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1002 ÷ 2 = 501

501 ÷ 3 = 167

167 is a prime number, so it cannot be divided further by any number other than 1 and 167.

The prime factors of 1002 are 2, 3, and 167.

The prime factorization of 1002 is: 2 × 3 × 167.

Factor Tree

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

Step 1: Firstly, 1002 is divided by 2 to get 501.

Step 2: Now divide 501 by 3 to get 167. Here, 167 is a prime number that cannot be divided anymore. So, the prime factorization of 1002 is: 2 × 3 × 167.

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 1002: (1, 1002), (2, 501), (3, 334), (6, 167).

Negative factor pairs of 1002: (-1, -1002), (-2, -501), (-3, -334), (-6, -167).

Common Mistakes and How to Avoid Them in Factors of 1002

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 6 teams and 1002 participants in a competition. How many participants will be in each team?

Okay, lets begin

They will get 167 participants each.

Explanation

To divide the participants equally, we need to divide the total participants by the number of teams.

1002/6 = 167

Well explained 👍

Problem 2

A garden is rectangular, the length of the garden is 334 meters and the total area is 1002 square meters. Find the width?

Okay, lets begin

3 meters.

Explanation

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

Area = length × width     

1002 = 334 × width     

To find the value of width, we need to shift 334 to the left side.     

1002/334 = width     

Width = 3.

Well explained 👍

Problem 3

There are 501 bags and 1002 apples. How many apples will be in each bag?

Okay, lets begin

Each bag will have 2 apples.

Explanation

To find the apples in each bag, divide the total apples by the bags.     

1002/501 = 2

Well explained 👍

Problem 4

In a school, there are 1002 students and 3 groups. How many students are there in each group?

Okay, lets begin

There are 334 students in each group.

Explanation

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

1002/3 = 334

Well explained 👍

Problem 5

1002 books need to be arranged in 2 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 501 books.

Explanation

Divide total books by shelves.     

1002/2 = 501

Well explained 👍

FAQs on Factors of 1002

1.What are the factors of 1002?

1, 2, 3, 6, 167, 334, 501, 1002 are the factors of 1002.

2.Mention the prime factors of 1002.

The prime factors of 1002 are 2 × 3 × 167.

3.Is 1002 a multiple of 3?

4.Mention the factor pairs of 1002?

(1, 1002), (2, 501), (3, 334), (6, 167) are the factor pairs of 1002.

5.What is the square of 1002?

The square of 1002 is 1004004.

Important Glossaries for Factor of 1002

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1002 are 1, 2, 3, 6, 167, 334, 501, and 1002.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 167 are prime factors of 1002.
     
  • 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 1002 are (1, 1002), (2, 501), etc.
     
  • Negative factors: Factors that are negative. For example, -1, -2, -3, -6, -167, -334, -501, and -1002 are the negative factors of 1002.
     
  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1002 is 2 × 3 × 167.

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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.