100 LearnersLast updated on May 26th, 2025
Factors of 1279
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 1279, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1279?
The numbers that divide 1279 evenly are known as factors of 1279.
A factor of 1279 is a number that divides the number without remainder.
The factors of 1279 are 1 and 1279.
Negative factors of 1279: -1 and -1279.
Prime factors of 1279: 1279 (since 1279 is a prime number itself).
The sum of factors of 1279: 1 + 1279 = 1280
How to Find Factors of 1279?
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 1279. Since 1279 is a prime number, the only multiplication pairs are with 1 and itself.
Step 1: Multiply 1279 by 1, 1279 × 1 = 1279.
Therefore, the positive factor pairs of 1279 are: (1, 1279).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 1279 by 1, 1279 ÷ 1 = 1279.
Since 1279 is a prime number, no other divisions will result in a whole number except division by itself.
Therefore, the factors of 1279 are: 1 and 1279.
Prime Factors and Prime Factorization
The factors can be found by dividing 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, since 1279 is a prime number, it cannot be broken down into other prime factors. The prime factor of 1279 is 1279 itself.
The prime factorization of 1279 is: 1279.
Factor Tree
A factor tree is a graphical representation of breaking down any number into prime factors. However, for a prime number like 1279, the factor tree is simple:
Step 1: Identify that 1279 is a prime number.
So, the prime factorization of 1279 is: 1279.
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 1279: (1, 1279).
Negative factor pairs of 1279: (-1, -1279).
Common Mistakes and How to Avoid Them in Factors of 1279
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 1279, 1 and 1279 are also factors.
Factors of 1279 Examples
Problem 1
A teacher wants to distribute 1279 pencils equally among students, but only one student is present. How many pencils does the student get?
The student gets all 1279 pencils.
Explanation
Since there is only one student, the total number of pencils, 1279, is given to that student.
Problem 2
A rectangular plot has a length of 1279 meters and a width of 1 meter. What is its area?
1279 square meters.
Explanation
To find the area of the plot, we use the formula,
Area = length × width
1279 = 1279 × 1
Problem 3
A solo runner completes a race of 1279 meters. How many laps will they complete if each lap is 1279 meters long?
The runner completes 1 lap.
Explanation
Since the length of the race is equal to one lap, the runner completes 1 lap.
Problem 4
A single sculpture needs 1279 grams of clay. If a sculptor has 1279 grams, how many sculptures can they make?
The sculptor can make 1 sculpture.
Explanation
Since the amount of clay required for one sculpture is 1279 grams, and the sculptor has exactly 1279 grams, they can make 1 sculpture.
Problem 5
A single bookshelf can hold 1279 books. If a library has 1279 books, how many shelves are required?
1 shelf is required.
Explanation
Since each shelf holds 1279 books, and there are 1279 books, only 1 shelf is needed.
FAQs on Factors of 1279
1.What are the factors of 1279?
2.Mention the prime factors of 1279.
3.Is 1279 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1279?
5.Is 1279 a prime number?
Important Glossaries for Factors of 1279
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1279 are 1 and 1279.
- Prime factors: The factors which are prime numbers. For example, 1279 is a prime factor of itself.
- 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 1279 are (1, 1279).
- Prime number: A number greater than 1 with no divisors other than 1 and itself. 1279 is a prime number.
- Negative factors: Negative numbers that divide the given number without leaving a remainder. For 1279, they are -1 and -1279.
Explore More numbers
Previous to Factors of 1279
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.
