100 LearnersLast updated on May 26th, 2025
Factors of 1520
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 1520, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1520?
The numbers that divide 1520 evenly are known as factors of 1520.
A factor of 1520 is a number that divides the number without a remainder.
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 95, 152, 190, 304, 380, 760, and 1520.
Negative factors of 1520: -1, -2, -4, -5, -8, -10, -16, -19, -20, -38, -40, -76, -95, -152, -190, -304, -380, -760, and -1520.
Prime factors of 1520: 2, 5, and 19.
Prime factorization of 1520: 24 × 5 × 19.
The sum of factors of 1520: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 19 + 20 + 38 + 40 + 76 + 95 + 152 + 190 + 304 + 380 + 760 + 1520 = 3640.
How to Find Factors of 1520?
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 1520. Identifying the numbers that are multiplied to get the number 1520 is the multiplication method.
Step 1: Multiply 1520 by 1, 1520 × 1 = 1520.
Step 2: Check for other numbers that give 1520 after multiplying
2 × 760 = 1520
4 × 380 = 1520
5 × 304 = 1520
8 × 190 = 1520
10 × 152 = 1520
16 × 95 = 1520
19 × 80 = 1520
20 × 76 = 1520
38 × 40 = 1520
Therefore, the positive factor pairs of 1520 are: (1, 1520), (2, 760), (4, 380), (5, 304), (8, 190), (10, 152), (16, 95), (19, 80), (20, 76), and (38, 40).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1520 by 1, 1520 ÷ 1 = 1520.
Step 2: Continue dividing 1520 by the numbers until the remainder becomes 0.
1520 ÷ 1 = 1520
1520 ÷ 2 = 760
1520 ÷ 4 = 380
1520 ÷ 5 = 304
1520 ÷ 8 = 190
1520 ÷ 10 = 152
1520 ÷ 16 = 95
1520 ÷ 19 = 80
1520 ÷ 20 = 76
1520 ÷ 38 = 40
Therefore, the factors of 1520 are: 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 95, 152, 190, 304, 380, 760, and 1520.
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 1520 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1520 ÷ 2 = 760
760 ÷ 2 = 380
380 ÷ 2 = 190
190 ÷ 2 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
The prime factors of 1520 are 2, 5, and 19.
The prime factorization of 1520 is: 24 × 5 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1520 is divided by 2 to get 760.
Step 2: Now divide 760 by 2 to get 380.
Step 3: Then divide 380 by 2 to get 190.
Step 4: Divide 190 by 2 to get 95.
Step 5: Divide 95 by 5 to get 19. Here, 19 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1520 is: 24 × 5 × 19.
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 1520: (1, 1520), (2, 760), (4, 380), (5, 304), (8, 190), (10, 152), (16, 95), (19, 80), (20, 76), and (38, 40).
Negative factor pairs of 1520: (-1, -1520), (-2, -760), (-4, -380), (-5, -304), (-8, -190), (-10, -152), (-16, -95), (-19, -80), (-20, -76), and (-38, -40).
Common Mistakes and How to Avoid Them in Factors of 1520
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 1520, 1 and 1520 are also factors.
Factors of 1520 Examples
Problem 1
There are 1520 marbles and 19 boxes. How many marbles will be in each box?
Each box will have 80 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes.
1520/19 = 80
Problem 2
A garden is rectangular, the length of the garden is 20 meters, and the total area is 1520 square meters. Find the width?
76 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1520 = 20 × width
To find the value of width, we need to shift 20 to the left side.
1520/20 = width
Width = 76.
Problem 3
There are 380 students in a school and 19 classes. How many students will be in each class?
Each class will have 20 students.
Explanation
To find the students in each class, divide the total students with the classes.
380/19 = 20
Problem 4
A farmer has 1520 apples and wants to pack them in bags of 16. How many bags does he need?
The farmer needs 95 bags.
Explanation
Dividing the apples with the bag size, we will get the number of bags needed.
1520/16 = 95
Problem 5
1520 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 152 books.
Explanation
Divide total books with shelves.
1520/10 = 152
FAQs on Factors of 1520
1.What are the factors of 1520?
2.Mention the prime factors of 1520.
3.Is 1520 a multiple of 19?
4.Mention the factor pairs of 1520?
5.What is the square of 1520?
6.How can children in United States use numbers in everyday life to understand Factors of 1520?
7.What are some fun ways kids in United States can practice Factors of 1520 with numbers?
8.What role do numbers and Factors of 1520 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 1520 skills?
Important Glossaries for Factors of 1520
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 95, 152, 190, 304, 380, 760, and 1520.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 19 are prime factors of 1520.
- 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 1520 are (1, 1520), (2, 760), etc.
- Prime factorization: The process of breaking down a number into its prime number components. For example, the prime factorization of 1520 is 24 × 5 × 19.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 1520 is a multiple of 19.
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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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