100 LearnersLast updated on May 26th, 2025
Factors of 1990
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 1990, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1990?
The numbers that divide 1990 evenly are known as factors of 1990.
A factor of 1990 is a number that divides the number without remainder.
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, and 1990.
Negative factors of 1990: -1, -2, -5, -10, -199, -398, -995, and -1990.
Prime factors of 1990: 2, 5, and 199.
Prime factorization of 1990: 2 × 5 × 199.
The sum of factors of 1990: 1 + 2 + 5 + 10 + 199 + 398 + 995 + 1990 = 3600
How to Find Factors of 1990?
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 1990. Identifying the numbers which are multiplied to get the number 1990 is the multiplication method.
Step 1: Multiply 1990 by 1, 1990 × 1 = 1990.
Step 2: Check for other numbers that give 1990 after multiplying
2 × 995 = 1990
5 × 398 = 1990
10 × 199 = 1990
Therefore, the positive factor pairs of 1990 are: (1, 1990), (2, 995), (5, 398), (10, 199).
All these factor pairs result in 1990.
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 1990 by 1, 1990 ÷ 1 = 1990.
Step 2: Continue dividing 1990 by the numbers until the remainder becomes 0.
1990 ÷ 1 = 1990
1990 ÷ 2 = 995
1990 ÷ 5 = 398
1990 ÷ 10 = 199
Therefore, the factors of 1990 are: 1, 2, 5, 10, 199, 398, 995, 1990.
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 1990 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1990 ÷ 2 = 995
995 ÷ 5 = 199
199 ÷ 199 = 1
The prime factors of 1990 are 2, 5, and 199.
The prime factorization of 1990 is: 2 × 5 × 199.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1990 is divided by 2 to get 995.
Step 2: Now divide 995 by 5 to get 199.
Step 3: 199 is already a prime number and cannot be divided anymore.
So, the prime factorization of 1990 is: 2 × 5 × 199.
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 1990: (1, 1990), (2, 995), (5, 398), (10, 199).
Negative factor pairs of 1990: (-1, -1990), (-2, -995), (-5, -398), (-10, -199).
Common Mistakes and How to Avoid Them in Factors of 1990
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 1990, 1 and 1990 are also factors.
Factors of 1990 Examples
Problem 1
There are 10 teams and 1990 tickets. How will they divide it equally among the teams?
They will get 199 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets with the number of teams.
1990/10 = 199
Problem 2
A garden is rectangular, the length of the garden is 5 meters and the total area is 1990 square meters. Find the width.
398 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1990 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1990/5 = width
Width = 398.
Problem 3
There are 398 chairs and 1990 people attending an event. How many people will share one chair?
Each chair will be shared by 5 people.
Explanation
To find how many people will share one chair, divide the total people by the chairs.
1990/398 = 5
Problem 4
In a school, there are 995 students and 1990 books. How many books will each student receive if divided equally?
Each student will receive 2 books.
Explanation
Dividing the books with the total students, we will get the number of books each student receives.
1990/995 = 2
Problem 5
1990 apples need to be arranged in 2 baskets. How many apples will go in each basket?
Each of the baskets will have 995 apples.
Explanation
Divide total apples by baskets.
1990/2 = 995
FAQs on Factors of 1990
1.What are the factors of 1990?
2.Mention the prime factors of 1990.
3.Is 1990 a multiple of 5?
4.Mention the factor pairs of 1990?
5.What is the square of 1990?
6.How can children in Australia use numbers in everyday life to understand Factors of 1990?
7.What are some fun ways kids in Australia can practice Factors of 1990 with numbers?
8.What role do numbers and Factors of 1990 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1990 skills?
Important Glossaries for Factor of 1990
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1990 are 1, 2, 5, 10, 199, 398, 995, and 1990.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 199 are prime factors of 1990.
- 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 1990 are (1, 1990), (2, 995), etc.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to yield the given number.
- Division method: A method of finding factors by dividing the given number by whole numbers to check for no remainder.
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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.
