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Last updated on May 26th, 2025

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Factors of 1958

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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 1958, how they are used in real life, and tips to learn them quickly.

Factors of 1958 for Vietnamese Students
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What are the Factors of 1958?

The numbers that divide 1958 evenly are known as factors of 1958.

 

A factor of 1958 is a number that divides the number without remainder.

 

The factors of 1958 are 1, 2, 979, and 1958.

 

Negative factors of 1958: -1, -2, -979, and -1958.

 

Prime factors of 1958: 2 and 979.

 

Prime factorization of 1958: 2 × 979.

 

The sum of factors of 1958: 1 + 2 + 979 + 1958 = 2940

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How to Find Factors of 1958?

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 1958. Identifying the numbers which are multiplied to get the number 1958 is the multiplication method.

 

Step 1: Multiply 1958 by 1, 1958 × 1 = 1958.

 

Step 2: Check for other numbers that give 1958 after multiplying 2 × 979 = 1958

 

Therefore, the positive factor pairs of 1958 are: (1, 1958) and (2, 979).

 

All these factor pairs result in 1958.

 

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 1958 by 1, 1958 ÷ 1 = 1958.

 

Step 2: Continue dividing 1958 by the numbers until the remainder becomes 0.

 

1958 ÷ 1 = 1958

1958 ÷ 2 = 979

 

Therefore, the factors of 1958 are: 1, 2, 979, and 1958.

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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 1958 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1958 ÷ 2 = 979

 

979 is a prime number and cannot be divided further by any number other than itself and 1.

 

The prime factors of 1958 are 2 and 979.

 

The prime factorization of 1958 is: 2 × 979.

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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, 1958 is divided by 2 to get 979. Here, 979 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1958 is: 2 × 979.

 

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 1958: (1, 1958) and (2, 979).

 

Negative factor pairs of 1958: (-1, -1958) and (-2, -979).

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Common Mistakes and How to Avoid Them in Factors of 1958

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 factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 1958, 1 and 1958 are also factors.

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Factors of 1958 Examples

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Problem 1

A baker has 1958 cupcakes and wants to pack them evenly into 2 boxes. How many cupcakes will each box contain?

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Each box will contain 979 cupcakes.

Explanation

To divide the cupcakes equally, we need to divide the total cupcakes by the number of boxes.

 

1958/2 = 979

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Problem 2

A ribbon is 1958 centimeters long, and a tailor wants to cut it into pieces that are 979 centimeters each. How many pieces will he get?

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He will get 2 pieces.

Explanation

To find the number of pieces, divide the total length by the length of each piece.

 

1958/979 = 2

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Problem 3

A farmer has 1958 apples and wants to distribute them equally among 979 baskets. How many apples will each basket have?

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Each basket will have 2 apples.

Explanation

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

 

1958/979 = 2

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Problem 4

There are 1958 bricks, and 2 construction workers want to split them equally. How many bricks will each worker get?

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Each worker will get 979 bricks.

Explanation

Dividing the bricks with the total workers, we will get the number of bricks each worker gets.

 

1958/2 = 979

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Problem 5

A library has 1958 books, and there are 2 shelves. How many books will go on each shelf?

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Each shelf will have 979 books.

Explanation

Divide the total books by the number of shelves.

 

1958/2 = 979

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FAQs on Factors of 1958

1.What are the factors of 1958?

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2.Mention the prime factors of 1958.

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3.Is 1958 a multiple of 979?

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4.Mention the factor pairs of 1958?

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5.What is the square of 1958?

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6.How can children in Vietnam use numbers in everyday life to understand Factors of 1958?

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7.What are some fun ways kids in Vietnam can practice Factors of 1958 with numbers?

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8.What role do numbers and Factors of 1958 play in helping children in Vietnam develop problem-solving skills?

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9.How can families in Vietnam create number-rich environments to improve Factors of 1958 skills?

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Important Glossaries for Factor of 1958

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1958 are 1, 2, 979, and 1958.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 979 are prime factors of 1958.
     
  • 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 1958 are (1, 1958) and (2, 979).
     
  • Prime factorization: The process of expressing a number as a product of its prime factors. For 1958, the prime factorization is 2 × 979.
     
  • Negative factors: Factors can also be negative. For example, -1, -2, -979, and -1958 are negative factors of 1958.
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About BrightChamps in Vietnam

At BrightChamps, numbers are more than just figures—they unlock countless opportunities! Our mission is to guide children throughout Vietnam in mastering essential math skills, with today’s focus on Factors of 1958 and a special highlight on factors—in a way that’s fun, lively, and easy to understand. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football game, or managing their allowance to buy cool gadgets, strong number skills boost their everyday confidence. Our interactive lessons make learning simple and enjoyable. Since children in Vietnam learn in different styles, we personalize our approach to each child. From Ho Chi Minh City’s vibrant streets to the stunning views of Ha Long Bay, BrightChamps brings math to life across Vietnam. Let’s make factors an exciting part of every child’s learning 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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