126 LearnersLast updated on May 26th, 2025
Factors of 1977
Factors are the numbers that divide any given number evenly without a 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 1977, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1977?
The numbers that divide 1977 evenly are known as factors of 1977.
A factor of 1977 is a number that divides the number without a remainder.
The factors of 1977 are 1, 3, 659, and 1977.
Negative factors of 1977: -1, -3, -659, and -1977.
Prime factors of 1977: 3 and 659.
Prime factorization of 1977: 3 × 659.
The sum of factors of 1977: 1 + 3 + 659 + 1977 = 2640
How to Find Factors of 1977?
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 1977. Identifying the numbers which are multiplied to get the number 1977 is the multiplication method.
Step 1: Multiply 1977 by 1, 1977 × 1 = 1977.
Step 2: Check for other numbers that give 1977 after multiplying
3 × 659 = 1977
Therefore, the positive factor pairs of 1977 are: (1, 1977) and (3, 659).
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 1977 by 1, 1977 ÷ 1 = 1977.
Step 2: Continue dividing 1977 by the numbers until the remainder becomes 0.
1977 ÷ 1 = 1977
1977 ÷ 3 = 659
Therefore, the factors of 1977 are: 1, 3, 659, 1977.
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 1977 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1977 ÷ 3 = 659
659 ÷ 659 = 1
The prime factors of 1977 are 3 and 659.
The prime factorization of 1977 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, 1977 is divided by 3 to get 659.
Step 2: 659 is already a prime number, so it cannot be divided further. So, the prime factorization of 1977 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 1977: (1, 1977) and (3, 659).
Negative factor pairs of 1977: (-1, -1977) and (-3, -659).
Common Mistakes and How to Avoid Them in Factors of 1977
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 1977, 1 and 1977 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 1977 include -1, -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 1977/1.5 = 1318, which 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 1977 are prime numbers.
For example, 3 and 659 are the prime factors of 1977, but it also has other factors like 1 and 1977.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1977 as 3 × 659 and missing key factors.
Factors of 1977 Examples
Problem 1
There are 3 teams and 1977 points to be divided equally among them. How many points will each team get?
Each team will get 659 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1977/3 = 659
Problem 2
A concert hall has 659 seats and 1977 people attending. How many people will sit in each seat if the seating is equal?
3 people.
Explanation
To find the number of people per seat, divide the total number of people by the number of seats.
1977/659 = 3
Problem 3
A classroom has 1977 books and 3 shelves. How many books will each shelf hold?
Each shelf will hold 659 books.
Explanation
To find how many books go on each shelf, divide the total books by the shelves.
1977/3 = 659
Problem 4
In a library, there are 1977 journals and each rack holds 659 journals. How many racks are needed?
3 racks are needed.
Explanation
Dividing the journals by the capacity of each rack gives the number of racks.
1977/659 = 3
Problem 5
1977 apples need to be packed in boxes, each containing 659 apples. How many boxes are required?
3 boxes are required.
Explanation
Divide the total apples by the number of apples per box.
1977/659 = 3
FAQs on Factors of 1977
1.What are the factors of 1977?
2.Mention the prime factors of 1977.
3.Is 1977 a multiple of 3?
4.Mention the factor pairs of 1977?
5.What is the square of 1977?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1977?
7.What are some fun ways kids in Vietnam can practice Factors of 1977 with numbers?
8.What role do numbers and Factors of 1977 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1977 skills?
Important Glossaries for Factors of 1977
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1977 are 1, 3, 659, and 1977.
- Prime factors: The factors which are prime numbers. For example, 3 and 659 are prime factors of 1977.
- 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 1977 are (1, 1977) and (3, 659).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1977 is 3 × 659.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 1977 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.
