Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the cupcakes equally, we need to divide the total cupcakes by the number of boxes.
1958/2 = 979
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.
To find the number of pieces, divide the total length by the length of each piece.
1958/979 = 2
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.
To find the apples in each basket, divide the total apples by the number of baskets.
1958/979 = 2
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.
Dividing the bricks with the total workers, we will get the number of bricks each worker gets.
1958/2 = 979
A library has 1958 books, and there are 2 shelves. How many books will go on each shelf?
Each shelf will have 979 books.
Divide the total books by the number of shelves.
1958/2 = 979
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.
: She loves to read number jokes and games.