125 LearnersLast updated on May 26th, 2025
Factors of 1960
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 1960, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1960?
The numbers that divide 1960 evenly are known as factors of 1960.
A factor of 1960 is a number that divides the number without remainder.
The factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, and 1960.
Negative factors of 1960: -1, -2, -4, -5, -7, -8, -10, -14, -20, -28, -35, -40, -49, -56, -70, -98, -140, -196, -245, -280, -392, -490, -980, and -1960.
Prime factors of 1960: 2, 5, and 7.
Prime factorization of 1960: 2³ × 5 × 7².
The sum of factors of 1960: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 28 + 35 + 40 + 49 + 56 + 70 + 98 + 140 + 196 + 245 + 280 + 392 + 490 + 980 + 1960 = 6300
How to Find Factors of 1960?
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 1960. Identifying the numbers which are multiplied to get the number 1960 is the multiplication method.
Step 1: Multiply 1960 by 1, 1960 × 1 = 1960.
Step 2: Check for other numbers that give 1960 after multiplying
2 × 980 = 1960
4 × 490 = 1960
5 × 392 = 1960
7 × 280 = 1960
8 × 245 = 1960
10 × 196 = 1960
14 × 140 = 1960
20 × 98 = 1960
28 × 70 = 1960
35 × 56 = 1960
Therefore, the positive factor pairs of 1960 are: (1, 1960), (2, 980), (4, 490), (5, 392), (7, 280), (8, 245), (10, 196), (14, 140), (20, 98), (28, 70), (35, 56).
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 1960 by 1, 1960 ÷ 1 = 1960.
Step 2: Continue dividing 1960 by the numbers until the remainder becomes 0.
1960 ÷ 1 = 1960
1960 ÷ 2 = 980
1960 ÷ 4 = 490
1960 ÷ 5 = 392
1960 ÷ 7 = 280
1960 ÷ 8 = 245
1960 ÷ 10 = 196
1960 ÷ 14 = 140
1960 ÷ 20 = 98
1960 ÷ 28 = 70
1960 ÷ 35 = 56
Therefore, the factors of 1960 are: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, and 1960.
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 1960 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1960 ÷ 2 = 980
980 ÷ 2 = 490
490 ÷ 2 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 1960 are 2, 5, and 7.
The prime factorization of 1960 is: 2³ × 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, 1960 is divided by 2 to get 980.
Step 2: Now divide 980 by 2 to get 490.
Step 3: Then divide 490 by 2 to get 245.
Step 4: Divide 245 by 5 to get 49.
Step 5: Divide 49 by 7 to get 7. Step 6: Here, 7 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1960 is: 2³ × 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 1960: (1, 1960), (2, 980), (4, 490), (5, 392), (7, 280), (8, 245), (10, 196), (14, 140), (20, 98), (28, 70), and (35, 56).
Negative factor pairs of 1960: (-1, -1960), (-2, -980), (-4, -490), (-5, -392), (-7, -280), (-8, -245), (-10, -196), (-14, -140), (-20, -98), (-28, -70), and (-35, -56).
Common Mistakes and How to Avoid Them in Factors of 1960
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 1960, 1 and 1960 is also a factor.
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 1960 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 1960/1.5 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 1960 are prime numbers.
For example, 2, 5, and 7 are the prime factors of 1960, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 1960 as 2³ × 5 × 7² and missing all the key factors.
Factors of 1960 Examples
Problem 1
There are 14 families and 1960 apples. How will they distribute them equally?
They will get 140 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of families.
1960/14 = 140
Problem 2
A rectangular garden has a length of 35 meters and the total area is 1960 square meters. Find the width.
56 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1960 = 35 × width
To find the value of width, we need to shift 35 to the left side.
1960/35 = width
Width = 56.
Problem 3
There are 28 crates and 1960 oranges. How many oranges will be in each crate?
Each crate will have 70 oranges.
Explanation
To find the oranges in each crate, divide the total oranges by the number of crates.
1960/28 = 70
Problem 4
In a company, there are 1960 employees, and 280 teams. How many employees are there in each team?
There are 7 employees in each team.
Explanation
Dividing the employees by the total teams, we will get the number of employees in each team.
1960/280 = 7
Problem 5
1960 chairs need to be arranged in 140 rows. How many chairs will go in each row?
Each row has 14 chairs.
Explanation
Divide total chairs by rows.
1960/140 = 14
FAQs on Factors of 1960
1.What are the factors of 1960?
2.Mention the prime factors of 1960.
3.Is 1960 a multiple of 7?
4.Mention the factor pairs of 1960?
5.What is the square of 1960?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1960?
7.What are some fun ways kids in Qatar can practice Factors of 1960 with numbers?
8.What role do numbers and Factors of 1960 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1960 skills?
Important Glossaries for Factor of 1960
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, and 1960.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 1960.
- 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 1960 are (1, 1960), (2, 980), etc.
- Prime factorization: Breaking down a number into the multiplication of its prime factors. For example, the prime factorization of 1960 is 2³ × 5 × 7².
- Divisors: Another term for factors, these are numbers that divide a given number without a remainder. For example, divisors of 1960 are 1, 2, 4, 5, etc.
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About BrightChamps in Qatar
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.
