BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1956

Professor Greenline Explaining Math Concepts

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 1956, how they are used in real life, and the tips to learn them quickly.

Factors of 1956 for Global Students
Professor Greenline from BrightChamps

What are the Factors of 1956?

The numbers that divide 1956 evenly are known as factors of 1956.

 

A factor of 1956 is a number that divides the number without remainder.

 

The factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, and 1956.

 

Negative factors of 1956: -1, -2, -3, -4, -6, -12, -163, -326, -489, -652, -978, and -1956.

 

Prime factors of 1956: 2, 3, and 163.

 

Prime factorization of 1956: 2 × 2 × 3 × 163.

 

The sum of factors of 1956: 1 + 2 + 3 + 4 + 6 + 12 + 163 + 326 + 489 + 652 + 978 + 1956 = 4592

Professor Greenline from BrightChamps

How to Find Factors of 1956?

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
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1956. Identifying the numbers which are multiplied to get the number 1956 is the multiplication method.

 

Step 1: Multiply 1956 by 1, 1956 × 1 = 1956.

 

Step 2: Check for other numbers that give 1956 after multiplying

 

2 × 978 = 1956

3 × 652 = 1956

4 × 489 = 1956

6 × 326 = 1956

12 × 163 = 1956

 

Therefore, the positive factor pairs of 1956 are: (1, 1956), (2, 978), (3, 652), (4, 489), (6, 326), (12, 163).

 

All these factor pairs result in 1956. For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

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 in whole numbers as factors. Factors can be calculated by following the simple division method

 

Step 1: Divide 1956 by 1, 1956 ÷ 1 = 1956.

 

Step 2: Continue dividing 1956 by the numbers until the remainder becomes 0.

 

1956 ÷ 1 = 1956

1956 ÷ 2 = 978

1956 ÷ 3 = 652

1956 ÷ 4 = 489

1956 ÷ 6 = 326

1956 ÷ 12 = 163

 

Therefore, the factors of 1956 are: 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956.

Professor Greenline from BrightChamps

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 1956 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1956 ÷ 2 = 978

978 ÷ 2 = 489

489 ÷ 3 = 163

163 ÷ 163 = 1

 

The prime factors of 1956 are 2, 3, and 163.

 

The prime factorization of 1956 is: 2 × 2 × 3 × 163.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

 

Step 1: Firstly, 1956 is divided by 2 to get 978.

 

Step 2: Now divide 978 by 2 to get 489.

 

Step 3: Then divide 489 by 3 to get 163. Step 4: Here, 163 is a prime number that cannot be divided anymore. So, the prime factorization of 1956 is: 2 × 2 × 3 × 163.

 

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 1956: (1, 1956), (2, 978), (3, 652), (4, 489), (6, 326), (12, 163).

 

Negative factor pairs of 1956: (-1, -1956), (-2, -978), (-3, -652), (-4, -489), (-6, -326), (-12, -163).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1956

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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 1956, 1 and 1956 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1956 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

There are 6 groups and 1956 items. How will they divide it equally?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

They will get 326 items each.

Explanation

To divide the items equally, we need to divide the total items by the number of groups.

 

1956/6 = 326

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A rectangular garden has a width of 4 meters and a total area of 1956 square meters. Find the length.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

489 meters.

Explanation

To find the length of the garden, we use the formula,

 

Area = length × width

 

1956 = length × 4

 

To find the value of the length, we need to shift 4 to the left side.

 

1956/4 = length

 

Length = 489.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

There are 12 baskets and 1956 apples. How many apples will be in each basket?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each basket will have 163 apples.

Explanation

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

 

1956/12 = 163

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

In a stadium, there are 163 rows and 1956 seats. How many seats are there in each row?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

There are 12 seats in each row.

Explanation

Dividing the seats by the total number of rows, we will get the number of seats in each row.

 

1956/163 = 12

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

1956 units of material need to be stored in 3 warehouses. How many units will go in each warehouse?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each of the warehouses has 652 units.

Explanation

Divide total units by the number of warehouses.

 

1956/3 = 652

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 1956

1.What are the factors of 1956?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1956.

Math FAQ Answers Dropdown Arrow

3.Is 1956 a multiple of 4?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1956?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1956?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 1956

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, and 1956.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 163 are prime factors of 1956.
     
  • 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 1956 are (1, 1956), (2, 978), etc.
     
  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1956 is 2 × 2 × 3 × 163.
     
  • Multiples: Numbers that can be divided by another number without a remainder. For example, 1956 is a multiple of 4.
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom