123 LearnersLast updated on May 26th, 2025
Factors of 994
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 994, how they are used in real life, and tips to learn them quickly.
What are the Factors of 994?
The numbers that divide 994 evenly are known as factors of 994.
A factor of 994 is a number that divides the number without remainder.
The factors of 994 are 1, 2, 497, and 994.
Negative factors of 994: -1, -2, -497, and -994.
Prime factors of 994: 2 and 497.
Prime factorization of 994: 2 × 497.
The sum of factors of 994: 1 + 2 + 497 + 994 = 1494
How to Find Factors of 994?
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 994. Identifying the numbers which are multiplied to get the number 994 is the multiplication method.
Step 1: Multiply 994 by 1, 994 × 1 = 994.
Step 2: Check for other numbers that give 994 after multiplying 2 × 497 = 994 Therefore, the positive factor pairs of 994 are: (1, 994), (2, 497). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 994 by 1, 994 ÷ 1 = 994.
Step 2: Continue dividing 994 by the numbers until the remainder becomes 0.
994 ÷ 1 = 994
994 ÷ 2 = 497
Therefore, the factors of 994 are: 1, 2, 497, 994.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 994 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 994 ÷ 2 = 497
Since 497 is a prime number, the process stops here.
The prime factors of 994 are 2 and 497.
The prime factorization of 994 is: 2 × 497.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 994 is divided by 2 to get 497. Here, 497 is a prime number and cannot be divided anymore. So, the prime factorization of 994 is: 2 × 497.
Common Mistakes and How to Avoid Them in Factors of 994
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 994, 1 and 994 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 994 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 994/1.5 ≈ 662.67, 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 994 are prime numbers.
For example, 2 and 497 are the prime factors of 994, but it has other factors like 1, 994.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 994 as 2 × 497 and missing all the key factors.
Factors of 994 Examples
Problem 1
There are 2 teams and 994 points. How will they divide the points equally?
They will get 497 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
994/2 = 497
Problem 2
A rectangular field has a perimeter of 994 meters. If the length is 497 meters, find the width.
0 meters.
Explanation
Since the length already accounts for half the perimeter, the width must be 0 to maintain the given perimeter.
Perimeter = 2(length + width)
994 = 2(497 + width)
994 = 994 + 2(width)
Width = 0.
Problem 3
There are 994 apples, and each box can hold 2 apples. How many boxes are needed?
497 boxes are needed.
Explanation
To find the number of boxes, divide the total apples by the capacity of each box.
994/2 = 497
Problem 4
A company ordered 994 desks, and they need to be arranged into 2 equal storage rooms. How many desks will each room hold?
Each room will hold 497 desks.
Explanation
Dividing the desks by the number of rooms, we will get the number of desks in each room.
994/2 = 497
Problem 5
994 pages need to be printed equally over 2 printers. How many pages will each printer print?
Each printer will print 497 pages.
Explanation
Divide the total pages by the number of printers.
994/2 = 497
FAQs on Factors of 994
1.What are the factors of 994?
2.Mention the prime factors of 994.
3.Is 994 a multiple of 2?
4.Mention the factor pairs of 994?
5.What is the square of 994?
Important Glossaries for Factor of 994
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 994 are 1, 2, 497, and 994.
- Prime factors: The factors which are prime numbers. For example, 2 and 497 are prime factors of 994.
- 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 994 are (1, 994) and (2, 497).
- Prime factorization: The expression of a number as the product of its prime factors. For 994, it is 2 × 497.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 994 is a multiple of 2.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 994
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.
