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Last updated on May 26th, 2025

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Factors of 2940

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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 2940, how they are used in real life, and the tips to learn them quickly.

Factors of 2940 for Qatari Students
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What are the Factors of 2940?

The numbers that divide 2940 evenly are known as factors of 2940.

 

A factor of 2940 is a number that divides the number without remainder.

 

The factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 294, 420, 490, 588, 735, 980, 1470, and 2940.

 

Negative factors of 2940: -1, -2, -3, -4, -5, -6, -7, -10, -12, -14, -15, -20, -21, -28, -30, -35, -42, -49, -60, -70, -84, -98, -105, -140, -147, -196, -210, -294, -420, -490, -588, -735, -980, -1470, and -2940.

 

Prime factors of 2940: 2, 3, 5, and 7.

 

Prime factorization of 2940: 22 × 3 × 5 × 72.

 

The sum of factors of 2940: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 30 + 35 + 42 + 49 + 60 + 70 + 84 + 98 + 105 + 140 + 147 + 196 + 210 + 294 + 420 + 490 + 588 + 735 + 980 + 1470 + 2940 = 9360

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How to Find Factors of 2940?

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 2940. Identifying the numbers which are multiplied to get the number 2940 is the multiplication method.

 

Step 1: Multiply 2940 by 1, 2940 × 1 = 2940.

 

Step 2: Check for other numbers that give 2940 after multiplying

 

2 × 1470 = 2940

3 × 980 = 2940

5 × 588 = 2940

6 × 490 = 2940

7 × 420 = 2940

10 × 294 = 2940

14 × 210 = 2940

15 × 196 = 2940

20 × 147 = 2940

21 × 140 = 2940

28 × 105 = 2940

30 × 98 = 2940

35 × 84 = 2940

42 × 70 = 2940

49 × 60 = 2940

 

Therefore, the positive factor pairs of 2940 are: (1, 2940), (2, 1470), (3, 980), (4, 735), (5, 588), (6, 490), (7, 420), (10, 294), (12, 245), (14, 210), (15, 196), (20, 147), (21, 140), (28, 105), (30, 98), (35, 84), (42, 70), and (49, 60). All these factor pairs result in 2940. 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 2940 by 1, 2940 ÷ 1 = 2940.

 

Step 2: Continue dividing 2940 by the numbers until the remainder becomes 0.

 

2940 ÷ 1 = 2940

2940 ÷ 2 = 1470

2940 ÷ 3 = 980

2940 ÷ 5 = 588

2940 ÷ 6 = 490

2940 ÷ 7 = 420

2940 ÷ 10 = 294

2940 ÷ 12 = 245

2940 ÷ 14 = 210

2940 ÷ 15 = 196

2940 ÷ 20 = 147

2940 ÷ 21 = 140

2940 ÷ 28 = 105

2940 ÷ 30 = 98

2940 ÷ 35 = 84

2940 ÷ 42 = 70

2940 ÷ 49 = 60

 

Therefore, the factors of 2940 are: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 294, 420, 490, 588, 735, 980, 1470, and 2940.

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Prime Factors and Prime Factorization

The factors can be found by dividing them 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 2940 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

2940 ÷ 2 = 1470

1470 ÷ 2 = 735

735 ÷ 3 = 245

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

 

The prime factors of 2940 are 2, 3, 5, and 7.

 

The prime factorization of 2940 is: 2^2 × 3 × 5 × 7^2.

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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, 2940 is divided by 2 to get 1470.

 

Step 2: Now divide 1470 by 2 to get 735.

 

Step 3: Then divide 735 by 3 to get 245.

 

Step 4: Divide 245 by 5 to get 49.

 

Step 5: Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 2940 is: 22 × 3 × 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 2940: (1, 2940), (2, 1470), (3, 980), (4, 735), (5, 588), (6, 490), (7, 420), (10, 294), (12, 245), (14, 210), (15, 196), (20, 147), (21, 140), (28, 105), (30, 98), (35, 84), (42, 70), and (49, 60).

 

Negative factor pairs of 2940: (-1, -2940), (-2, -1470), (-3, -980), (-4, -735), (-5, -588), (-6, -490), (-7, -420), (-10, -294), (-12, -245), (-14, -210), (-15, -196), (-20, -147), (-21, -140), (-28, -105), (-30, -98), (-35, -84), (-42, -70), and (-49, -60).

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Common Mistakes and How to Avoid Them in Factors of 2940

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 word. Always remember to include 1 and the number itself.

 

For example, in factors of 2940, 1 and 2940 are also factors.

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Factors of 2940 Examples

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Problem 1

There are 2940 marbles and 14 bags. How many marbles will each bag contain?

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Each bag will contain 210 marbles.

Explanation

To divide the marbles equally, we need to divide the total marbles by the number of bags.

 

2940/14 = 210

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Problem 2

A rectangular pool has an area of 2940 square meters and a length of 42 meters. What is the width of the pool?

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The width of the pool is 70 meters.

Explanation

To find the width of the pool, we use the formula,

 

Area = length × width

 

2940 = 42 × width

 

To find the value of width, we need to shift 42 to the left side.

 

2940/42 = width

 

Width = 70.

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Problem 3

A farmer has 2940 apples and wants to distribute them equally among 35 baskets. How many apples will each basket have?

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Each basket will have 84 apples.

Explanation

To find the apples in each basket, divide the total apples by the number of baskets.

 

2940/35 = 84

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Problem 4

A company has 2940 widgets to be packed into 60 boxes. How many widgets will each box contain?

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Each box will contain 49 widgets.

Explanation

Dividing the widgets by the total number of boxes, we will get the number of widgets in each box.

 

2940/60 = 49

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Problem 5

A theater has 2940 seats and is divided into 98 sections. How many seats are there in each section?

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Each section has 30 seats.

Explanation

Divide the total seats by the number of sections.

 

2940/98 = 30

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FAQs on Factors of 2940

1.What are the factors of 2940?

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2.Mention the prime factors of 2940.

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3.Is 2940 a multiple of 7?

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4.Mention the factor pairs of 2940?

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5.What is the square of 2940?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 2940?

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7.What are some fun ways kids in Qatar can practice Factors of 2940 with numbers?

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8.What role do numbers and Factors of 2940 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 2940 skills?

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Important Glossaries for Factor of 2940

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2940 are 1, 2, 3, 4, 5, 6, etc.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 7 are prime factors of 2940.

 

  • 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 2940 are (1, 2940), (2, 1470), etc.

 

  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the target number. For example, 14 × 210 = 2940.

 

  • Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 2940 is 2^2 × 3 × 5 × 7^2.
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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 2940 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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