Last updated on May 26th, 2025
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 977, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 977 evenly are known as factors of 977.
A factor of 977 is a number that divides the number without remainder.
The factors of 977 are 1 and 977.
Negative factors of 977: -1 and -977.
Prime factors of 977: 977 (as 977 is a prime number).
Prime factorization of 977: 977.
The sum of factors of 977: 1 + 977 = 978
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 977. Identifying the numbers which are multiplied to get the number 977 is the multiplication method.
Step 1: Multiply 977 by 1, 977 × 1 = 977. Since 977 is a prime number, no other pairs of numbers multiply to give 977 except (1, 977).
Therefore, the positive factor pairs of 977 are: (1, 977).
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 977 by 1, 977 ÷ 1 = 977. Since 977 is a prime number, it cannot be divided by any other number without leaving a remainder. Therefore, the factors of 977 are: 1 and 977.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 977 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. Since 977 is a prime number, it cannot be broken down further. The prime factorization of 977 is: 977.
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 977 is a prime number, it cannot be further divided into smaller prime factors. So, the prime factorization of 977 is simply 977.
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 977: (1, 977).
Negative factor pairs of 977: (-1, -977).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A gardener has 977 flowers and wants to plant them evenly in 1 row. How many flowers will be in each row?
There will be 977 flowers in each row.
To plant the flowers evenly in 1 row, we simply have all 977 flowers in that row.
A piece of string is 977 cm long. If you cut it into 1 equal piece, how long is each piece?
977 cm.
To find the length of each piece, divide the total length by the number of pieces.
977/1 = 977
A car travels 977 kilometers in one trip. How many kilometers does it travel if it makes only this one trip?
977 kilometers.
Since the car makes just one trip, it travels the entire distance of 977 kilometers.
A library has 977 books to be placed on a single shelf. How many books will be on that shelf?
977 books.
Since all books are placed on a single shelf, it will contain all 977 books.
A baker has 977 cookies and wants to pack them in single boxes. How many cookies will each box contain?
Each box will contain 977 cookies.
Since the cookies are packed in single boxes, each box will contain all 977 cookies.
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.