Factors of 1021
2026-02-28 12:49 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 1021, how they are used in real life, and tips to learn them quickly.

What are the Factors of 1021?

The numbers that divide 1021 evenly are known as factors of 1021.

A factor of 1021 is a number that divides the number without remainder.

The factors of 1021 are 1, 13, 79, and 1021.

Negative factors of 1021: -1, -13, -79, and -1021.

Prime factors of 1021: 13 and 79.

Prime factorization of 1021: 13 × 79.

The sum of factors of 1021: 1 + 13 + 79 + 1021 = 1114

How to Find Factors of 1021?

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 1021. Identifying the numbers which are multiplied to get the number 1021 is the multiplication method.

Step 1: Multiply 1021 by 1, 1021 × 1 = 1021.

Step 2: Check for other numbers that give 1021 after multiplying 13 × 79 = 1021

Therefore, the positive factor pairs of 1021 are: (1, 1021) and (13, 79). For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers by 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 1021 by 1, 1021 ÷ 1 = 1021.

Step 2: Continue dividing 1021 by the numbers until the remainder becomes 0.

1021 ÷ 1 = 1021

1021 ÷ 13 = 79

Therefore, the factors of 1021 are: 1, 13, 79, and 1021.

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 1021 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1021 ÷ 13 = 79

79 ÷ 79 = 1

The prime factors of 1021 are 13 and 79.

The prime factorization of 1021 is: 13 × 79.

Factor Tree

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

Step 1: Firstly, 1021 is divided by 13 to get 79.

Step 2: Now divide 79 by 79 to get 1.

So, the prime factorization of 1021 is: 13 × 79.

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 1021: (1, 1021) and (13, 79).

Negative factor pairs of 1021: (-1, -1021) and (-13, -79).

Common Mistakes and How to Avoid Them in Factors of 1021

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 13 friends and 1021 candies. How will they divide them equally?

Okay, lets begin

They will get 79 candies each.

Explanation

To divide the candies equally, we need to divide the total candies by the number of friends.

1021/13 = 79

Well explained 👍

Problem 2

A field is rectangular, the length of the field is 79 meters and the total area is 1021 square meters. Find the width?

Okay, lets begin

13 meters.

Explanation

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

Area = length × width

1021 = 79 × width

To find the value of width, we need to shift 79 to the left side.

1021/79 = width

Width = 13.

Well explained 👍

Problem 3

There are 1021 apples and 79 baskets. How many apples will be in each basket?

Okay, lets begin

Each basket will have 13 apples.

Explanation

To find the apples in each basket, divide the total apples by the baskets.

1021/79 = 13

Well explained 👍

Problem 4

In a class, there are 1021 students, and 13 groups. How many students are there in each group?

Okay, lets begin

There are 79 students in each group.

Explanation

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

1021/13 = 79

Well explained 👍

Problem 5

1021 books need to be arranged in 13 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 79 books.

Explanation

Divide total books by shelves.

1021/13 = 79

Well explained 👍

FAQs on Factors of 1021

1.What are the factors of 1021?

1, 13, 79, and 1021 are the factors of 1021.

2.Mention the prime factors of 1021.

The prime factors of 1021 are 13 × 79.

3.Is 1021 a multiple of 13?

4.Mention the factor pairs of 1021?

(1, 1021) and (13, 79) are the factor pairs of 1021.

5.What is the square of 1021?

The square of 1021 is 1,042,441.

Important Glossaries for Factor of 1021

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1021 are 1, 13, 79, and 1021.
  • Prime factors: The factors which are prime numbers. For example, 13 and 79 are prime factors of 1021.
  • 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 1021 are (1, 1021) and (13, 79).
  • Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to the original number.
  • Division method: A method used to find factors by dividing the original number by other numbers until a remainder of zero is achieved.

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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.