117 LearnersLast updated on May 26th, 2025
Factors of 989
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.
What are the Factors of 989?
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
How to Find Factors of 989?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 989
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 the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 989, 1 and 989 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 989 consist of -1, -23, -43, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 989/1.5 = 659.333, 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 989 are prime numbers.
For example, 23 and 43 are the prime factors of 989, but it has other factors like 1, 989.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 989 as 23 × 43 and missing all the key factors.
Factors of 989 Examples
Problem 1
There are 23 students in a class and 989 pencils. How will they divide them equally?
They will get 43 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
989/23 = 43
Problem 2
A rectangular garden has a length of 43 meters and a total area of 989 square meters. Find the width?
23 meters.
Explanation
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.
Problem 3
There are 43 boxes and 989 oranges. How many oranges will be in each box?
Each box will have 23 oranges.
Explanation
To find the oranges in each box, divide the total oranges by the boxes.
989/43 = 23
Problem 4
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.
Explanation
Dividing the books by the total groups, we will get the number of books in each group.
989/23 = 43
Problem 5
989 apples need to be arranged in 23 baskets. How many apples will go in each basket?
Each of the baskets has 43 apples.
Explanation
Divide total apples by baskets.
989/23 = 43
FAQs on Factors of 989
1.What are the factors of 989?
2.Mention the prime factors of 989.
3.Is 989 a multiple of 23?
4.Mention the factor pairs of 989?
5.What is the square of 989?
6.How can children in Canada use numbers in everyday life to understand Factors of 989?
7.What are some fun ways kids in Canada can practice Factors of 989 with numbers?
8.What role do numbers and Factors of 989 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 989 skills?
Important Glossaries for Factor of 989
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 989 are 1, 23, 43, and 989.
- Prime factors: The factors which are prime numbers. For example, 23 and 43 are prime factors of 989.
- 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 989 are (1, 989) and (23, 43).
- Multiple: A multiple of a number is the product of that number and an integer. For example, 989 is a multiple of 23.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 989 is 23 × 43.
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About BrightChamps in Canada
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.
