121 LearnersLast updated on May 26th, 2025
Factors of 1021
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
- 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 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.
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
- Using factor tree
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.
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 1021, 1 and 1021 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1021 consist of -1, -13, -79, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1021/1.5 = 680.6667, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1021 are prime numbers.
For example, 13 and 79 are the prime factors of 1021, but it has other factors like 1, 1021.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, Not breaking 1021 as 13 × 79 and missing all the key factors.
Factors of 1021 Examples
Problem 1
There are 13 friends and 1021 candies. How will they divide them equally?
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
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?
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.
Problem 3
There are 1021 apples and 79 baskets. How many apples will be in each basket?
Each basket will have 13 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1021/79 = 13
Problem 4
In a class, there are 1021 students, and 13 groups. How many students are there in each group?
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
Problem 5
1021 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 79 books.
Explanation
Divide total books by shelves.
1021/13 = 79
FAQs on Factors of 1021
1.What are the factors of 1021?
2.Mention the prime factors of 1021.
3.Is 1021 a multiple of 13?
4.Mention the factor pairs of 1021?
5.What is the square of 1021?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1021?
7.What are some fun ways kids in Qatar can practice Factors of 1021 with numbers?
8.What role do numbers and Factors of 1021 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1021 skills?
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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About BrightChamps in Qatar
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.
