117 LearnersLast updated on May 26th, 2025
Factors of 1020
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 1020, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1020?
The numbers that divide 1020 evenly are known as factors of 1020.
A factor of 1020 is a number that divides the number without a remainder.
The factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, and 1020.
Negative factors of 1020: -1, -2, -3, -4, -5, -6, -10, -12, -15, -17, -20, -30, -34, -51, -60, -68, -85, -102, -170, -204, -255, -340, -510, and -1020.
Prime factors of 1020: 2, 3, 5, and 17.
Prime factorization of 1020: 22 × 3 × 5 × 17.
The sum of factors of 1020: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 17 + 20 + 30 + 34 + 51 + 60 + 68 + 85 + 102 + 170 + 204 + 255 + 340 + 510 + 1020 = 3060
How to Find Factors of 1020?
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 1020. Identifying the numbers which are multiplied to get the number 1020 is the multiplication method.
Step 1: Multiply 1020 by 1, 1020 × 1 = 1020.
Step 2: Check for other numbers that give 1020 after multiplying:
2 × 510 = 1020
3 × 340 = 1020
4 × 255 = 1020
5 × 204 = 1020
6 × 170 = 1020
10 × 102 = 1020
12 × 85 = 1020
15 × 68 = 1020
17 × 60 = 1020
20 × 51 = 1020
30 × 34 = 1020
Therefore, the positive factor pairs of 1020 are: (1, 1020), (2, 510), (3, 340), (4, 255), (5, 204), (6, 170), (10, 102), (12, 85), (15, 68), (17, 60), (20, 51), (30, 34). For every positive factor, there is a negative factor.
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 a simple division method:
Step 1: Divide 1020 by 1, 1020 ÷ 1 = 1020.
Step 2: Continue dividing 1020 by the numbers until the remainder becomes 0.
1020 ÷ 1 = 1020
1020 ÷ 2 = 510
1020 ÷ 3 = 340
1020 ÷ 4 = 255
1020 ÷ 5 = 204
1020 ÷ 6 = 170
1020 ÷ 10 = 102
1020 ÷ 12 = 85
1020 ÷ 15 = 68
1020 ÷ 17 = 60
1020 ÷ 20 = 51
1020 ÷ 30 = 34
Therefore, the factors of 1020 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, and 1020.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1020 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1020 ÷ 2 = 510
510 ÷ 2 = 255
255 ÷ 3 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
The prime factors of 1020 are 2, 3, 5, and 17.
The prime factorization of 1020 is: 2^2 × 3 × 5 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1020 is divided by 2 to get 510.
Step 2: Divide 510 by 2 to get 255.
Step 3: Then divide 255 by 3 to get 85.
Step 4: Divide 85 by 5 to get 17. Here, 17 is a prime number and cannot be divided further. So, the prime factorization of 1020 is: 22 × 3 × 5 × 17.
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 1020: (1, 1020), (2, 510), (3, 340), (4, 255), (5, 204), (6, 170), (10, 102), (12, 85), (15, 68), (17, 60), (20, 51), and (30, 34).
Negative factor pairs of 1020: (-1, -1020), (-2, -510), (-3, -340), (-4, -255), (-5, -204), (-6, -170), (-10, -102), (-12, -85), (-15, -68), (-17, -60), (-20, -51), and (-30, -34).
Common Mistakes and How to Avoid Them in Factors of 1020
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1020, 1 and 1020 are also factors.
Mistake 2
Missing Negative Factors
We have often used only to mention positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1020 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor, because 1020/1.5 = 680, 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 1020 are prime numbers.
For example, 2, 3, 5, and 17 are the prime factors of 1020, but it has other factors like 4, 10, etc.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 1020 as 2^2 × 3 × 5 × 17 and missing key factors.
Factors of 1020 Examples
Problem 1
There are 12 teams and 1020 apples. How will they divide them equally?
They will get 85 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
1020/12 = 85
Problem 2
A rectangular garden has a length of 17 meters and a total area of 1020 square meters. Find the width.
60 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1020 = 17 × width
To find the value of width, we need to shift 17 to the left side.
1020/17 = width
Width = 60.
Problem 3
There are 30 boxes and 1020 candies. How many candies will be in each box?
Each box will have 34 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1020/30 = 34
Problem 4
In a classroom, there are 1020 students and 5 sections. How many students are there in each section?
There are 204 students in each section.
Explanation
Dividing the students by the total sections, we get the number of students in each section.
1020/5 = 204
Problem 5
1020 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 170 books.
Explanation
Divide total books by shelves.
1020/6 = 170
FAQs on Factors of 1020
1.What are the factors of 1020?
2.Mention the prime factors of 1020.
3.Is 1020 a multiple of 4?
4.Mention the factor pairs of 1020.
5.What is the square of 1020?
6.How can children in Canada use numbers in everyday life to understand Factors of 1020?
7.What are some fun ways kids in Canada can practice Factors of 1020 with numbers?
8.What role do numbers and Factors of 1020 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1020 skills?
Important Glossaries for Factors of 1020
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1020 are 1, 2, 3, 4, 5, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 17 are prime factors of 1020.
- 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 1020 are (1, 1020), (2, 510), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1020 is 22 × 3 × 5 × 17.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the number.
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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.
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