120 LearnersLast updated on May 26th, 2025
Factors of 1958
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.
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
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
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.
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.
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.
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).
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
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 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.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1958 consist of -1, -2, -979, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1958/1.5 = 1305.333, and it 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 1958 are prime numbers.
For example, 2 and 979 are the prime factors of 1958, but it has other factors like 1 and 1958.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1958 as 2 × 979 and missing all the key factors.
Factors of 1958 Examples
Problem 1
A baker has 1958 cupcakes and wants to pack them evenly into 2 boxes. How many cupcakes will each box contain?
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
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?
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
Problem 3
A farmer has 1958 apples and wants to distribute them equally among 979 baskets. How many apples will each basket have?
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
Problem 4
There are 1958 bricks, and 2 construction workers want to split them equally. How many bricks will each worker get?
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
Problem 5
A library has 1958 books, and there are 2 shelves. How many books will go on each shelf?
Each shelf will have 979 books.
Explanation
Divide the total books by the number of shelves.
1958/2 = 979
FAQs on Factors of 1958
1.What are the factors of 1958?
2.Mention the prime factors of 1958.
3.Is 1958 a multiple of 979?
4.Mention the factor pairs of 1958?
5.What is the square of 1958?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1958?
7.What are some fun ways kids in Vietnam can practice Factors of 1958 with numbers?
8.What role do numbers and Factors of 1958 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1958 skills?
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
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.
