100 LearnersLast updated on May 26th, 2025
Factors of 1994
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1994, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1994?
The numbers that divide 1994 evenly are known as factors of 1994.
A factor of 1994 is a number that divides the number without remainder.
The factors of 1994 are 1, 2, 997, and 1994.
Negative factors of 1994: -1, -2, -997, and -1994.
Prime factors of 1994: 2 and 997.
Prime factorization of 1994: 2 × 997.
The sum of factors of 1994: 1 + 2 + 997 + 1994 = 2994
How to Find Factors of 1994?
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 1994. Identifying the numbers which are multiplied to get the number 1994 is the multiplication method.
Step 1: Multiply 1994 by 1, 1994 × 1 = 1994.
Step 2: Check for other numbers that give 1994 after multiplying 2 × 997 = 1994
Therefore, the positive factor pairs of 1994 are: (1, 1994) and (2, 997).
All these factor pairs result in 1994.
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 1994 by 1, 1994 ÷ 1 = 1994.
Step 2: Continue dividing 1994 by the numbers until the remainder becomes 0.
1994 ÷ 1 = 1994
1994 ÷ 2 = 997
Therefore, the factors of 1994 are: 1, 2, 997, 1994.
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 1994 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1994 ÷ 2 = 997 997 is a prime number.
The prime factors of 1994 are 2 and 997.
The prime factorization of 1994 is: 2 × 997.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1994 is divided by 2 to get 997. Here, 997 is already a prime number, so it cannot be divided further.
So, the prime factorization of 1994 is: 2 × 997.
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 1994: (1, 1994), (2, 997).
Negative factor pairs of 1994: (-1, -1994), (-2, -997).
Common Mistakes and How to Avoid Them in Factors of 1994
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1994, 1 and 1994 is also a factor.
Factors of 1994 Examples
Problem 1
There are 2 friends and 1994 apples. How will they divide it equally?
They will get 997 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
1994/2 = 997
Problem 2
A rectangular garden has a length of 997 meters and a total area of 1994 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1994 = 997 × width
To find the value of width, we need to shift 997 to the left side.
1994/997 = width
Width = 2.
Problem 3
There are 1994 marbles and 997 bags. How many marbles will be in each bag?
Each bag will have 2 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
1994/997 = 2
Problem 4
In a class, there are 1994 students, and 2 groups. How many students are there in each group?
There are 997 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1994/2 = 997
Problem 5
1994 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 997 books.
Explanation
Divide total books by shelves.
1994/2 = 997
FAQs on Factors of 1994
1.What are the factors of 1994?
2.Mention the prime factors of 1994.
3.Is 1994 a multiple of 2?
4.Mention the factor pairs of 1994.
5.What is the square of 1994?
6.How can children in Canada use numbers in everyday life to understand Factors of 1994?
7.What are some fun ways kids in Canada can practice Factors of 1994 with numbers?
8.What role do numbers and Factors of 1994 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1994 skills?
Important Glossaries for Factors of 1994
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1994 are 1, 2, 997, and 1994.
- Prime factors: The factors which are prime numbers. For example, 2 and 997 are prime factors of 1994.
- 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 1994 are (1, 1994) and (2, 997).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1994 is 2 × 997.
- Negative factors: Factors that are the negative counterparts of positive factors. For example, -1, -2, -997, and -1994 are negative factors of 1994.
Explore More numbers
Previous to Factors of 1994
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.
