116 LearnersLast updated on June 2nd, 2025
Factors of 3920
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 3920, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 3920?
The numbers that divide 3920 evenly are known as factors of 3920.
A factor of 3920 is a number that divides the number without remainder.
The factors of 3920 are 1, 2, 4, 5, 8, 10, 16, 20, 28, 40, 56, 70, 80, 112, 140, 196, 280, 392, 560, 784, 980, 1960, and 3920.
Negative factors of 3920: -1, -2, -4, -5, -8, -10, -16, -20, -28, -40, -56, -70, -80, -112, -140, -196, -280, -392, -560, -784, -980, -1960, and -3920.
Prime factors of 3920: 2, 5, and 7.
Prime factorization of 3920: 24 × 5 × 72.
The sum of factors of 3920: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 28 + 40 + 56 + 70 + 80 + 112 + 140 + 196 + 280 + 392 + 560 + 784 + 980 + 1960 + 3920 = 10800
How to Find Factors of 3920?
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 3920. Identifying the numbers which are multiplied to get the number 3920 is the multiplication method.
Step 1: Multiply 3920 by 1, 3920 × 1 = 3920.
Step 2: Check for other numbers that give 3920 after multiplying
2 × 1960 = 3920
4 × 980 = 3920
5 × 784 = 3920
8 × 490 = 3920
10 × 392 = 3920
16 × 245 = 3920
20 × 196 = 3920
28 × 140 = 3920
40 × 98 = 3920
56 × 70 = 3920
Therefore, the positive factor pairs of 3920 are: (1, 3920), (2, 1960), (4, 980), (5, 784), (8, 490), (10, 392), (16, 245), (20, 196), (28, 140), (40, 98), and (56, 70). 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 3920 by 1, 3920 ÷ 1 = 3920.
Step 2: Continue dividing 3920 by the numbers until the remainder becomes 0.
3920 ÷ 1 = 3920
3920 ÷ 2 = 1960
3920 ÷ 4 = 980
3920 ÷ 5 = 784
3920 ÷ 8 = 490
3920 ÷ 10 = 392
3920 ÷ 16 = 245
3920 ÷ 20 = 196
3920 ÷ 28 = 140
3920 ÷ 40 = 98
3920 ÷ 56 = 70
Therefore, the factors of 3920 are: 1, 2, 4, 5, 8, 10, 16, 20, 28, 40, 56, 70, 80, 112, 140, 196, 280, 392, 560, 784, 980, 1960, 3920.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 3920 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
3920 ÷ 2 = 1960
1960 ÷ 2 = 980
980 ÷ 2 = 490
490 ÷ 2 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 3920 are 2, 5, and 7.
The prime factorization of 3920 is: 24 × 5 × 72.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 3920 is divided by 2 to get 1960.
Step 2: Now divide 1960 by 2 to get 980.
Step 3: Then divide 980 by 2 to get 490.
Step 4: Divide 490 by 2 to get 245.
Step 5: Divide 245 by 5 to get 49.
Step 6: Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 3920 is: 24 × 5 × 72.
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 3920: (1, 3920), (2, 1960), (4, 980), (5, 784), (8, 490), (10, 392), (16, 245), (20, 196), (28, 140), (40, 98), and (56, 70).
Negative factor pairs of 3920: (-1, -3920), (-2, -1960), (-4, -980), (-5, -784), (-8, -490), (-10, -392), (-16, -245), (-20, -196), (-28, -140), (-40, -98), and (-56, -70).
Common Mistakes and How to Avoid Them in Factors of 3920
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 word. Always remember to include 1 and the number itself.
For example, in factors of 3920, 1 and 3920 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 3920 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 3920/1.5 = 2613.333, 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 3920 are prime numbers.
For example, 2, 5, and 7 are the prime factors of 3920, but it 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 3920 as 24 × 5 × 72 and missing all the key factors.
Factors of 3920 Examples
Problem 1
A factory has 3920 light bulbs to be packed equally into boxes, each box can hold 56 bulbs. How many boxes are needed?
70 boxes are needed.
Explanation
To find out the number of boxes, divide the total bulbs by the number of bulbs per box.
3920/56 = 70
Problem 2
A garden has a length of 140 meters and a total area of 3920 square meters. Find the width of the garden.
28 meters.
Explanation
To find the width of the garden, use the formula, Area = Length × Width
3920 = 140 × Width
To find the value of width, divide 3920 by 140.
3920/140 = Width
Width = 28.
Problem 3
There are 980 seats in a concert hall and 3920 guests. How many guests will occupy each seat?
Each seat will have 4 guests.
Explanation
To find the number of guests per seat, divide the total guests by the number of seats.
3920/980 = 4
Problem 4
A warehouse has 3920 boxes and 20 sections. How many boxes are there in each section?
There are 196 boxes in each section.
Explanation
Dividing the total boxes by the number of sections gives the number of boxes in each section.
3920/20 = 196
Problem 5
A library has 3920 books to be arranged into 49 shelves equally. How many books will go on each shelf?
Each of the shelves has 80 books.
Explanation
Divide the total books by the number of shelves.
3920/49 = 80
FAQs on Factors of 3920
1.What are the factors of 3920?
2.Mention the prime factors of 3920.
3.Is 3920 a multiple of 8?
4.Mention the factor pairs of 3920?
5.What is the square of 3920?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 3920?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 3920 with numbers?
8.What role do numbers and Factors of 3920 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 3920 skills?
Important Glossaries for Factors of 3920
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3920 are 1, 2, 4, 5, 8, 10, 16, 20, 28, 40, 56, 70, 80, 112, 140, 196, 280, 392, 560, 784, 980, 1960, and 3920.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 3920.
- 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 3920 are (1, 3920), (2, 1960), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 3920 is 24 × 5 × 72.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 3920 is a multiple of 8.
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About BrightChamps in Saudi Arabia
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.
