119 LearnersLast updated on June 9th, 2025
Factors of 1494
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 1494, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1494?
The numbers that divide 1494 evenly are known as factors of 1494.
A factor of 1494 is a number that divides the number without remainder.
The factors of 1494 are 1, 2, 3, 6, 9, 83, 166, 249, 498, 747, and 1494.
Negative factors of 1494: -1, -2, -3, -6, -9, -83, -166, -249, -498, -747, and -1494.
Prime factors of 1494: 2, 3, and 83.
Prime factorization of 1494: 2 × 3 × 3 × 83.
The sum of factors of 1494: 1 + 2 + 3 + 6 + 9 + 83 + 166 + 249 + 498 + 747 + 1494 = 3258
How to Find Factors of 1494?
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 1494. Identifying the numbers which are multiplied to get the number 1494 is the multiplication method.
Step 1: Multiply 1494 by 1, 1494 × 1 = 1494.
Step 2: Check for other numbers that give 1494 after multiplying
2 × 747 = 1494
3 × 498 = 1494
6 × 249 = 1494
9 × 166 = 1494
83 × 18 = 1494
Therefore, the positive factor pairs of 1494 are: (1, 1494), (2, 747), (3, 498), (6, 249), (9, 166), (18, 83).
All these factor pairs result in 1494.
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 1494 by 1, 1494 ÷ 1 = 1494.
Step 2: Continue dividing 1494 by the numbers until the remainder becomes 0.
1494 ÷ 1 = 1494
1494 ÷ 2 = 747
1494 ÷ 3 = 498
1494 ÷ 6 = 249
1494 ÷ 9 = 166
1494 ÷ 83 = 18
Therefore, the factors of 1494 are: 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494.
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 1494 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1494 ÷ 2 = 747
747 ÷ 3 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1
The prime factors of 1494 are 2, 3, and 83.
prime factorization of 1494 is: 2 × 3 × 3 × 83.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1494 is divided by 2 to get 747.
Step 2: Now divide 747 by 3 to get 249.
Step 3: Then divide 249 by 3 to get 83. Here, 83 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1494 is: 2 × 3 × 3 × 83.
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 1494: (1, 1494), (2, 747), (3, 498), (6, 249), (9, 166), (18, 83).
Negative factor pairs of 1494: (-1, -1494), (-2, -747), (-3, -498), (-6, -249), (-9, -166), (-18, -83).
Common Mistakes and How to Avoid Them in Factors of 1494
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 1494, 1 and 1494 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 1494 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 1494/1.5 = 996, 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 1494 are prime numbers. While 2, 3, and 83 are the prime factors of 1494, it has other factors like 6, 9.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1494 as 2 × 3 × 3 × 83 and missing all the key factors.
Factors of 1494 Examples
Problem 1
A school has 18 classrooms and 1494 desks. How many desks will be in each classroom?
Each classroom will have 83 desks.
Explanation
To distribute the desks equally, we need to divide the total desks by the number of classrooms.
1494/18 = 83
Problem 2
A rectangular garden has a length of 83 meters and a total area of 1494 square meters. Find the width.
18 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1494 = 83 × width
To find the width, divide the area by the length.
1494/83 = width
Width = 18.
Problem 3
There are 6 shelves and 1494 books. How many books will be on each shelf?
Each shelf will have 249 books.
Explanation
To find the number of books on each shelf, divide the total books by the number of shelves.
1494/6 = 249
Problem 4
A conference room has 3 tables and 1494 chairs. How many chairs will be around each table?
There are 498 chairs around each table.
Explanation
Dividing the chairs by the total tables will give the number of chairs around each table.
1494/3 = 498
Problem 5
1494 files need to be divided into 2 cabinets. How many files will go into each cabinet?
Each cabinet will have 747 files.
Explanation
Divide the total files by the number of cabinets.
1494/2 = 747
FAQs on Factors of 1494
1.What are the factors of 1494?
2.Mention the prime factors of 1494.
3.Is 1494 a multiple of 9?
4.Mention the factor pairs of 1494.
5.What is the square of 1494?
Important Glossaries for Factors of 1494
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, and 1494.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 83 are prime factors of 1494.
- 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 1494 are (1, 1494), (2, 747), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1494 is 2 × 3 × 3 × 83.
- Negative factors: Factors that are negative, i.e., the negative integers that divide the number without leaving a remainder. For example, negative factors of 1494 are -1, -2, -3, etc.
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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.
Fun Fact
: She loves to read number jokes and games.
