119 LearnersLast updated on May 26th, 2025
Factors of 977
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.
What are the Factors of 977?
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
How to Find Factors of 977?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 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.
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 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.
Prime Factors and Prime Factorization
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
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
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 977, 1 and 977 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 977 consist of -1 and -977.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 977/1.5 = 651.333, 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 977 are prime numbers. However, 977 itself is a prime number and its only factors are 1 and 977.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not realizing that 977 is a prime number and incorrectly attempting to break it down further.
Factors of 977 Examples
Problem 1
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.
Explanation
To plant the flowers evenly in 1 row, we simply have all 977 flowers in that row.
Problem 2
A piece of string is 977 cm long. If you cut it into 1 equal piece, how long is each piece?
977 cm.
Explanation
To find the length of each piece, divide the total length by the number of pieces.
977/1 = 977
Problem 3
A car travels 977 kilometers in one trip. How many kilometers does it travel if it makes only this one trip?
977 kilometers.
Explanation
Since the car makes just one trip, it travels the entire distance of 977 kilometers.
Problem 4
A library has 977 books to be placed on a single shelf. How many books will be on that shelf?
977 books.
Explanation
Since all books are placed on a single shelf, it will contain all 977 books.
Problem 5
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.
Explanation
Since the cookies are packed in single boxes, each box will contain all 977 cookies.
FAQs on Factors of 977
1.What are the factors of 977?
2.Mention the prime factors of 977.
3.Is 977 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 977?
5.Is 977 a prime number?
6.How can children in Philippines use numbers in everyday life to understand Factors of 977?
7.What are some fun ways kids in Philippines can practice Factors of 977 with numbers?
8.What role do numbers and Factors of 977 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 977 skills?
Important Glossaries for Factor of 977
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 977 are 1 and 977.
- Prime factors: The factors which are prime numbers. For example, since 977 is a prime number, it is its own prime factor.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 977 is (1, 977).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 977 is a prime number.
- Prime factorization: Writing a number as a product of its prime factors. For example, the prime factorization of 977 is 977.
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About BrightChamps in Philippines
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.
