120 LearnersLast updated on June 9th, 2025
Factors of 1480
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 1480, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1480?
The numbers that divide 1480 evenly are known as factors of 1480.
A factor of 1480 is a number that divides the number without a remainder.
The factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 74, 148, 185, 296, 370, 740, and 1480.
Negative factors of 1480: -1, -2, -4, -5, -8, -10, -20, -37, -40, -74, -148, -185, -296, -370, -740, and -1480.
Prime factors of 1480: 2, 5, and 37.
Prime factorization of 1480: (23 times 5 times 37).
The sum of factors of 1480: 1 + 2 + 4 + 5 + 8 + 10 + 20 + 37 + 40 + 74 + 148 + 185 + 296 + 370 + 740 + 1480 = 3420
How to Find Factors of 1480?
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 1480. Identifying the numbers which are multiplied to get the number 1480 is the multiplication method.
Step 1: Multiply 1480 by 1, 1480 × 1 = 1480.
Step 2: Check for other numbers that give 1480 after multiplying
2 × 740 = 1480
4 × 370 = 1480
5 × 296 = 1480
8 × 185 = 1480
10 × 148 = 1480
20 × 74 = 1480
37 × 40 = 1480
Therefore, the positive factor pairs of 1480 are: (1, 1480), (2, 740), (4, 370), (5, 296), (8, 185), (10, 148), (20, 74), (37, 40). All these factor pairs result in 1480.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1480 by 1, 1480 ÷ 1 = 1480.
Step 2: Continue dividing 1480 by the numbers until the remainder becomes 0.
1480 ÷ 1 = 1480
1480 ÷ 2 = 740
1480 ÷ 4 = 370
1480 ÷ 5 = 296
1480 ÷ 8 = 185
1480 ÷ 10 = 148
1480 ÷ 20 = 74
1480 ÷ 37 = 40
Therefore, the factors of 1480 are: 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480.
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 1480 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1480 ÷ 2 = 740
740 ÷ 2 = 370
370 ÷ 2 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
The prime factors of 1480 are 2, 5, and 37.
The prime factorization of 1480 is: (23 times 5 times 37).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1480 is divided by 2 to get 740.
Step 2: Now divide 740 by 2 to get 370.
Step 3: Then divide 370 by 2 to get 185.
Step 4: Divide 185 by 5 to get 37. Here, 37 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1480 is: (23 times 5 times 37).
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 1480: (1, 1480), (2, 740), (4, 370), (5, 296), (8, 185), (10, 148), (20, 74), and (37, 40).
Negative factor pairs of 1480: (-1, -1480), (-2, -740), (-4, -370), (-5, -296), (-8, -185), (-10, -148), (-20, -74), and (-37, -40).
Common Mistakes and How to Avoid Them in Factors of 1480
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 1480, 1 and 1480 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 1480 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1480/1.5 = 986.666, 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 1480 are prime numbers. For example, 2, 5, and 37 are the prime factors of 1480, but it has other factors like 4, 10, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1480 as (23 times 5 times 37) and missing all the key factors.
Factors of 1480 Examples
Problem 1
A baker has 1480 cupcakes and wants to pack them into boxes of 10 cupcakes each. How many boxes can be filled?
148 boxes can be filled.
Explanation
To find the number of boxes, divide the total cupcakes by the number of cupcakes per box.
1480 ÷ 10 = 148
Problem 2
A concert hall has 370 seats. If it needs to be filled with 1480 audience members, how many such halls are required?
4 concert halls are required.
Explanation
To find the number of halls needed, divide the total audience by the number of seats per hall.
1480 ÷ 370 = 4
Problem 3
A warehouse has 1480 crates and needs to arrange them in stacks of 296 crates each. How many stacks will there be?
There will be 5 stacks.
Explanation
To find the number of stacks, divide the total crates by the number of crates per stack.
1480 ÷ 296 = 5
Problem 4
A gardener wants to plant 1480 trees in rows of 37. How many rows will be there?
There will be 40 rows.
Explanation
Divide the total number of trees by the number of trees per row to find the number of rows.
1480 ÷ 37 = 40
Problem 5
A company has 1480 employees and wants to organize them into teams of 74. How many teams can be formed?
20 teams can be formed.
Explanation
Divide the total number of employees by the number of employees per team.
1480 ÷ 74 = 20
FAQs on Factors of 1480
1.What are the factors of 1480?
2.Mention the prime factors of 1480.
3.Is 1480 a multiple of 8?
4.Mention the factor pairs of 1480?
5.What is the square of 1480?
6.How can children in Australia use numbers in everyday life to understand Factors of 1480?
7.What are some fun ways kids in Australia can practice Factors of 1480 with numbers?
8.What role do numbers and Factors of 1480 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1480 skills?
Important Glossaries for Factors of 1480
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, and 1480.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 37 are prime factors of 1480.
- 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 1480 are (1, 1480), (2, 740), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1480 is (23 times 5 times 37).
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1480 is a multiple of 8.
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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.
