Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 5120, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 5120 evenly are known as factors of 5120.
A factor of 5120 is a number that divides the number without a remainder.
The factors of 5120 include 1, 2, 4, 5, 8, 10, 16, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560, and 5120.
Negative factors of 5120: -1, -2, -4, -5, -8, -10, -16, -32, -40, -64, -80, -128, -160, -256, -320, -512, -640, -1280, -2560, and -5120.
Prime factors of 5120: 2 and 5.
Prime factorization of 5120: 29 × 5.
The sum of factors of 5120: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 32 + 40 + 64 + 80 + 128 + 160 + 256 + 320 + 512 + 640 + 1280 + 2560 + 5120 = 12768
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 5120. Identifying the numbers which are multiplied to get the number 5120 is the multiplication method.
Step 1: Multiply 5120 by 1, 5120 × 1 = 5120.
Step 2: Check for other numbers that give 5120 after multiplying:
2 × 2560 = 5120
4 × 1280 = 5120
5 × 1024 = 5120
8 × 640 = 5120
Therefore, the positive factor pairs of 5120 are (1, 5120), (2, 2560), (4, 1280), (5, 1024), and (8, 640).
For every positive factor, there is a negative factor.
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 5120 by 1, 5120 ÷ 1 = 5120.
Step 2: Continue dividing 5120 by the numbers until the remainder becomes 0.
5120 ÷ 1 = 5120
5120 ÷ 2 = 2560
5120 ÷ 4 = 1280
5120 ÷ 5 = 1024
5120 ÷ 8 = 640
Therefore, the factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560, and 5120.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 5120 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
5120 ÷ 2 = 2560
2560 ÷ 2 = 1280
1280 ÷ 2 = 640
640 ÷ 2 = 320
320 ÷ 2 = 160
160 ÷ 2 = 80
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1
The prime factors of 5120 are 2 and 5.
The prime factorization of 5120 is: 29 × 5.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 5120 is divided by 2 to get 2560.
Step 2: Now divide 2560 by 2 to get 1280.
Step 3: Then divide 1280 by 2 to get 640.
Step 4: Divide 640 by 2 to get 320.
Step 5: Divide 320 by 2 to get 160.
Step 6: Divide 160 by 2 to get 80.
Step 7: Divide 80 by 2 to get 40.
Step 8: Divide 40 by 2 to get 20.
Step 9: Divide 20 by 2 to get 10.
Step 10: Divide 10 by 2 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 5120 is: 29 × 5.
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 5120: (1, 5120), (2, 2560), (4, 1280), (5, 1024), (8, 640), (10, 512), (16, 320), (32, 160), (40, 128), (64, 80).
Negative factor pairs of 5120: (-1, -5120), (-2, -2560), (-4, -1280), (-5, -1024), (-8, -640), (-10, -512), (-16, -320), (-32, -160), (-40, -128), (-64, -80).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 64 students and 5120 candies. How many candies will each student get?
Each student will get 80 candies.
To divide the candies equally, we need to divide the total candies by the number of students.
5120/64 = 80
A rectangular garden has a length of 640 meters and a total area of 5120 square meters. What is the width?
8 meters.
To find the width of the garden, we use the formula,
Area = length × width
5120 = 640 × width
To find the value of width, we need to shift 640 to the left side.
5120/640 = width
Width = 8.
There are 128 bags and 5120 apples. How many apples will be in each bag?
Each bag will have 40 apples.
To find the apples in each bag, divide the total apples by the number of bags.
5120/128 = 40
In a school, there are 5120 students, and 320 classes. How many students are there in each class?
There are 16 students in each class.
Dividing the students by the total classes, we will get the number of students in each class.
5120/320 = 16
A library has 5120 books and 64 shelves. How many books will go on each shelf?
Each shelf will have 80 books.
Divide total books by shelves.
5120/64 = 80
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.
: She loves to read number jokes and games.