122 LearnersLast updated on May 26th, 2025
Factors of 1979
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 1979, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1979?
The numbers that divide 1979 evenly are known as factors of 1979.
A factor of 1979 is a number that divides the number without remainder.
The factors of 1979 are 1, 3, 659, and 1979.
Negative factors of 1979: -1, -3, -659, and -1979.
Prime factors of 1979: 3 and 659.
Prime factorization of 1979: 3 × 659.
The sum of factors of 1979: 1 + 3 + 659 + 1979 = 2642
How to Find Factors of 1979?
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 1979. Identifying the numbers which are multiplied to get the number 1979 is the multiplication method.
Step 1: Multiply 1979 by 1, 1979 × 1 = 1979.
Step 2: Check for other numbers that give 1979 after multiplying
3 × 659 = 1979
Therefore, the positive factor pairs of 1979 are: (1, 1979) and (3, 659).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 1979 by 1, 1979 ÷ 1 = 1979.
Step 2: Continue dividing 1979 by the numbers until the remainder becomes 0.
1979 ÷ 1 = 1979
1979 ÷ 3 = 659
Therefore, the factors of 1979 are: 1, 3, 659, and 1979.
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 1979 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1979 ÷ 3 = 659
659 ÷ 659 = 1
The prime factors of 1979 are 3 and 659.
The prime factorization of 1979 is: 3 × 659.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1979 is divided by 3 to get 659.
Step 2: Since 659 is a prime number, it cannot be divided further. So, the prime factorization of 1979 is: 3 × 659.
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 1979: (1, 1979) and (3, 659).
Negative factor pairs of 1979: (-1, -1979) and (-3, -659).
Common Mistakes and How to Avoid Them in Factors of 1979
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 1979, 1 and 1979 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 1979 consist of -1, -3, -659, 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 1979/1.5 = 1319.333, 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 1979 are prime numbers.
For example, 3 and 659 are the prime factors of 1979, but it has other factors like 1 and 1979.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1979 as 3 × 659 and missing all the key factors.
Factors of 1979 Examples
Problem 1
There are 3 teachers and 659 books. How will they distribute the books equally?
They will get 219 books each.
Explanation
To distribute the books equally, we need to divide the total books by the number of teachers.
659/3 = 219
Problem 2
A rectangular garden has a length of 659 meters and a total area of 1979 square meters. What is the width?
3 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1979 = 659 × width
To find the value of width, divide 1979 by 659.
1979/659 = width
Width = 3.
Problem 3
There are 1979 candies to be placed into 659 bags. How many candies will be in each bag?
Each bag will have 3 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
1979/659 = 3
Problem 4
In a hall, there are 1979 chairs, and they need to be arranged in 3 rows. How many chairs will be in each row?
There are 659 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1979/3 = 659
Problem 5
A library has 1979 books to be organized into 1979 sections. How many books will go in each section?
Each section has 1 book.
Explanation
Divide the total books by the sections.
1979/1979 = 1
FAQs on Factors of 1979
1.What are the factors of 1979?
2.Mention the prime factors of 1979.
3.Is 1979 a multiple of 3?
4.Mention the factor pairs of 1979?
5.What is the square of 1979?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1979?
7.What are some fun ways kids in Vietnam can practice Factors of 1979 with numbers?
8.What role do numbers and Factors of 1979 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1979 skills?
Important Glossaries for Factors of 1979
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1979 are 1, 3, 659, and 1979.
- Prime factors: The factors which are prime numbers. For example, 3 and 659 are prime factors of 1979.
- 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 1979 are (1, 1979) and (3, 659).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1979 is 3 × 659.
- Multiple: A number that can be divided by another number without a remainder. For example, 1979 is a multiple of 3.
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About BrightChamps in Vietnam
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.
