118 LearnersLast updated on June 2nd, 2025
Factors of 1220
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 1220, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1220?
The numbers that divide 1220 evenly are known as factors of 1220.
A factor of 1220 is a number that divides the number without a remainder.
The factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, and 1220.
Negative factors of 1220: -1, -2, -4, -5, -10, -20, -61, -122, -244, -305, -610, and -1220.
Prime factors of 1220: 2, 5, and 61. Prime factorization of 1220: 22 × 5 × 61.
The sum of factors of 1220: 1 + 2 + 4 + 5 + 10 + 20 + 61 + 122 + 244 + 305 + 610 + 1220 = 2604
How to Find Factors of 1220?
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 1220. Identifying the numbers which are multiplied to get the number 1220 is the multiplication method.
Step 1: Multiply 1220 by 1, 1220 × 1 = 1220.
Step 2: Check for other numbers that give 1220 after multiplying
2 × 610 = 1220
4 × 305 = 1220
5 × 244 = 1220
10 × 122 = 1220
20 × 61 = 1220
Therefore, the positive factor pairs of 1220 are: (1, 1220), (2, 610), (4, 305), (5, 244), (10, 122), (20, 61).
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 the simple division method
Step 1: Divide 1220 by 1, 1220 ÷ 1 = 1220.
Step 2: Continue dividing 1220 by the numbers until the remainder becomes 0.
1220 ÷ 1 = 1220
1220 ÷ 2 = 610
1220 ÷ 4 = 305
1220 ÷ 5 = 244
1220 ÷ 10 = 122
1220 ÷ 20 = 61
Therefore, the factors of 1220 are: 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220.
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 1220 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1220 ÷ 2 = 610
610 ÷ 2 = 305
305 ÷ 5 = 61
61 ÷ 61 = 1
The prime factors of 1220 are 2, 5, and 61.
The prime factorization of 1220 is: 22 × 5 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1220 is divided by 2 to get 610.
Step 2: Now divide 610 by 2 to get 305.
Step 3: Then divide 305 by 5 to get 61.
Step 4: 61 is a prime number and cannot be divided further. So, the prime factorization of 1220 is: 22 × 5 × 61.
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 1220: (1, 1220), (2, 610), (4, 305), (5, 244), (10, 122), (20, 61).
Negative factor pairs of 1220: (-1, -1220), (-2, -610), (-4, -305), (-5, -244), (-10, -122), (-20, -61).
Common Mistakes and How to Avoid Them in Factors of 1220
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1220, 1 and 1220 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1220 consist of -1, -2, -4, 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 1220/1.5 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 1220 are prime numbers. For example, 2, 5, and 61 are the prime factors of 1220, but it also has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1220 as 2^2 × 5 × 61 and missing all the key factors.
Factors of 1220 Examples
Problem 1
There are 122 cookies and 61 boxes. How will they divide it equally?
They will get 2 cookies each.
Explanation
To divide the cookies equally, we need to divide the total cookies by the number of boxes.
122/61 = 2
Problem 2
A rectangular park has a length of 20 meters and a total area of 1220 square meters. Find the width?
61 meters.
Explanation
To find the width of the park, we use the formula,
Area = length × width
1220 = 20 × width
To find the value of width, we need to shift 20 to the left side.
1220/20 = width
Width = 61.
Problem 3
There are 244 apples and 122 baskets. How many apples will be in each basket?
Each basket will have 2 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
244/122 = 2
Problem 4
In a concert, there are 1220 seats, and 10 sections. How many seats are there in each section?
There are 122 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1220/10 = 122
Problem 5
1220 books need to be organized in 5 rows. How many books will go in each row?
Each of the rows has 244 books.
Explanation
Divide total books by rows.
1220/5 = 244
FAQs on Factors of 1220
1.What are the factors of 1220?
2.Mention the prime factors of 1220.
3.Is 1220 a multiple of 4?
4.Mention the factor pairs of 1220?
5.What is the square of 1220?
6.How can children in United States use numbers in everyday life to understand Factors of 1220?
7.What are some fun ways kids in United States can practice Factors of 1220 with numbers?
8.What role do numbers and Factors of 1220 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1220 skills?
Important Glossaries for Factor of 1220
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, and 1220.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 61 are prime factors of 1220.
- 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 1220 are (1, 1220), (2, 610), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1220 is 22 × 5 × 61.
- Multiple: A number that can be divided by another number without a remainder. For example, 1220 is a multiple of 4.
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About BrightChamps in United States
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.
