Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the points equally, we need to divide the total points by the number of teams.
1977/3 = 659
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.
To find the number of people per seat, divide the total number of people by the number of seats.
1977/659 = 3
A classroom has 1977 books and 3 shelves. How many books will each shelf hold?
Each shelf will hold 659 books.
To find how many books go on each shelf, divide the total books by the shelves.
1977/3 = 659
In a library, there are 1977 journals and each rack holds 659 journals. How many racks are needed?
3 racks are needed.
Dividing the journals by the capacity of each rack gives the number of racks.
1977/659 = 3
1977 apples need to be packed in boxes, each containing 659 apples. How many boxes are required?
3 boxes are required.
Divide the total apples by the number of apples per box.
1977/659 = 3
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.
: She loves to read number jokes and games.