100 LearnersLast updated on May 26th, 2025
Factors of 1381
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 1381, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1381?
The numbers that divide 1381 evenly are known as factors of 1381.
A factor of 1381 is a number that divides the number without a remainder.
The factors of 1381 are 1 and 1381.
Negative factors of 1381: -1 and -1381.
Prime factors of 1381: 1381 is a prime number, so it has no prime factors other than itself.
Prime factorization of 1381: 1381 is a prime number.
The sum of factors of 1381: 1 + 1381 = 1382
How to Find Factors of 1381?
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 1381. Since 1381 is a prime number, the only multiplication pair is:
Step 1: Multiply 1381 by 1, 1381 × 1 = 1381.
Therefore, the positive factor pair of 1381 is: (1, 1381).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by whole numbers until the remainder becomes zero and listing out the resulting whole numbers as factors. Factors can be calculated by following this simple division method:
Step 1: Divide 1381 by 1, 1381 ÷ 1 = 1381.
Step 2: Since 1381 is a prime number, it is only divisible by 1 and itself.
Therefore, the factors of 1381 are: 1 and 1381.
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, prime factors of 1381 divide the number to break it down.
Since 1381 is a prime number, it cannot be broken down further into prime factors.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. For 1381, since it is a prime number, there is no factor tree that can simplify it further.
The prime factorization of 1381 is: 1381.
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 pair of 1381: (1, 1381).
Negative factor pair of 1381: (-1, -1381).
Common Mistakes and How to Avoid Them in Factors of 1381
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 include the given number itself and 1 as factors. The number itself and 1 are the factors of every number. Always remember to include 1 and the number itself.
For example, in factors of 1381, 1 and 1381 are also factors.
Factors of 1381 Examples
Problem 1
A concert ticket costs $1381. How many dollars will be spent if 1 ticket is bought?
$1381 will be spent.
Explanation
To find the cost, multiply the number of tickets by the price per ticket.
1 × 1381 = 1381
Problem 2
A unique bracelet is priced at $1381. If you buy one, what's the total cost?
The total cost is $1381.
Explanation
The price for one bracelet is $1381.
Therefore, buying one bracelet costs 1 × 1381 = 1381.
Problem 3
A donation of $1381 is made to one charity. How much does each charity receive?
Each charity receives $1381.
Explanation
Since there is only one charity, the entire donation goes to it:
1381/1 = 1381.
Problem 4
A painting is valued at $1381. How much is it worth if it's sold to one buyer?
The painting is worth $1381.
Explanation
The value of the painting remains 1381 since it's sold to one buyer:
1381/1 = 1381.
Problem 5
A sculpture is priced at $1381. How much does one sculpture sell for?
One sculpture sells for $1381.
Explanation
The price of one sculpture is the listed price:
1381/1 = 1381.
FAQs on Factors of 1381
1.What are the factors of 1381?
2.Is 1381 a prime number?
3.What is the only prime factor of 1381?
4.What are the factor pairs of 1381?
5.What is the sum of factors of 1381?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1381?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1381 with numbers?
8.What role do numbers and Factors of 1381 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1381 skills?
Important Glossaries for Factor of 1381
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1381 are 1 and 1381.
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 1381 is a prime number.
- Factor pairs: Two numbers in a pair that when multiplied give the original number. For example, the factor pair of 1381 is (1, 1381).
- Negative factors: Factors that are negative integers. For example, the negative factors of 1381 are -1 and -1381.
- Prime factorization: The expression of a number as the product of its prime factors. For a prime number like 1381, it is 1381 itself.
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About BrightChamps in United Arab Emirates
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.
