Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 989, how they are used in real life, and tips to learn them quickly.
The numbers that divide 989 evenly are known as factors of 989.
A factor of 989 is a number that divides the number without a remainder.
The factors of 989 are 1, 23, 43, and 989.
Negative factors of 989: -1, -23, -43, and -989.
Prime factors of 989: 23 and 43.
Prime factorization of 989: 23 × 43.
The sum of factors of 989: 1 + 23 + 43 + 989 = 1056
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 989. Identifying the numbers which are multiplied to get the number 989 is the multiplication method.
Step 1: Multiply 989 by 1, 989 × 1 = 989.
Step 2: Check for other numbers that give 989 after multiplying 23 × 43 = 989
Therefore, the positive factor pairs of 989 are: (1, 989) and (23, 43).
All these factor pairs result in 989.
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 989 by 1, 989 ÷ 1 = 989.
Step 2: Continue dividing 989 by the numbers until the remainder becomes 0.
989 ÷ 1 = 989
989 ÷ 23 = 43
989 ÷ 43 = 23
Therefore, the factors of 989 are: 1, 23, 43, 989.
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 989 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
989 ÷ 23 = 43
43 ÷ 43 = 1
The prime factors of 989 are 23 and 43.
The prime factorization of 989 is: 23 × 43.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 989 is divided by 23 to get 43.
Step 2: Now divide 43 by 43 to get 1. Here, 43 is a prime number, that cannot be divided anymore. So, the prime factorization of 989 is: 23 × 43.
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 989: (1, 989) and (23, 43).
Negative factor pairs of 989: (-1, -989) and (-23, -43).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 23 students in a class and 989 pencils. How will they divide them equally?
They will get 43 pencils each.
To divide the pencils equally, we need to divide the total pencils by the number of students.
989/23 = 43
A rectangular garden has a length of 43 meters and a total area of 989 square meters. Find the width?
23 meters.
To find the width of the garden, we use the formula,
Area = length × width
989 = 43 × width
To find the value of width, we need to shift 43 to the left side.
989/43 = width
Width = 23.
There are 43 boxes and 989 oranges. How many oranges will be in each box?
Each box will have 23 oranges.
To find the oranges in each box, divide the total oranges by the boxes.
989/43 = 23
In a class, there are 989 books, and 23 groups. How many books are there in each group?
There are 43 books in each group.
Dividing the books by the total groups, we will get the number of books in each group.
989/23 = 43
989 apples need to be arranged in 23 baskets. How many apples will go in each basket?
Each of the baskets has 43 apples.
Divide total apples by baskets.
989/23 = 43
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.