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Last updated on May 26th, 2025

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Factors of 1960

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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.

Factors of 1960 for Qatari Students
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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

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 1960 Examples

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Problem 1

There are 14 families and 1960 apples. How will they distribute them equally?

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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

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Problem 2

A rectangular garden has a length of 35 meters and the total area is 1960 square meters. Find the width.

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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.

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Problem 3

There are 28 crates and 1960 oranges. How many oranges will be in each crate?

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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

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Problem 4

In a company, there are 1960 employees, and 280 teams. How many employees are there in each team?

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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

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Problem 5

1960 chairs need to be arranged in 140 rows. How many chairs will go in each row?

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Each row has 14 chairs.

Explanation

Divide total chairs by rows.

 

1960/140 = 14

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FAQs on Factors of 1960

1.What are the factors of 1960?

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2.Mention the prime factors of 1960.

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3.Is 1960 a multiple of 7?

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4.Mention the factor pairs of 1960?

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5.What is the square of 1960?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 1960?

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7.What are some fun ways kids in Qatar can practice Factors of 1960 with numbers?

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8.What role do numbers and Factors of 1960 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Factors of 1960 skills?

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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

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 1960 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math journey!
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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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Fun Fact

: She loves to read number jokes and games.

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