123 LearnersLast updated on June 9th, 2025
Factors of 1481
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we utilize factors for tasks like sharing items equally, organizing objects, etc. In this topic, we will explore the factors of 1481, their applications in real life, and tips for learning them quickly.
What are the Factors of 1481?
The numbers that divide 1481 evenly are known as factors of 1481.
A factor of 1481 is a number that divides the number without a remainder.
The factors of 1481 are 1 and 1481 since 1481 is a prime number.
Negative factors of 1481: -1 and -1481.
Prime factors of 1481: 1481 itself, as it is a prime number.
Prime factorization of 1481: 1481.
The sum of factors of 1481: 1 + 1481 = 1482
How to Find Factors of 1481?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify pairs of numbers that are multiplied to give 1481. Since 1481 is a prime number, the only multiplication that results in 1481 is:
Step 1: Multiply 1481 by 1, 1481 × 1 = 1481.
Therefore, the positive factor pairs of 1481 are: (1, 1481).
For every positive factor, there is a negative factor as well.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers resulting in whole numbers as factors. Factors can be calculated using a simple division method
Step 1: Divide 1481 by 1, 1481 ÷ 1 = 1481.
Step 2: Check if 1481 is divisible by any other number (it is not, as it is a prime number).
Therefore, the factors of 1481 are: 1 and 1481.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, since 1481 is a prime number, its only prime factor is itself.
The prime factorization of 1481 is: 1481.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1481 is a prime number, the factor tree is not applicable beyond showing 1481 itself as its only factorization.
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 1481: (1, 1481).
Negative factor pairs of 1481: (-1, -1481).
Common Mistakes and How to Avoid Them in Factors of 1481
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common examples 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 1481, 1 and 1481 are the factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1481 consist of -1 and -1481.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1481/1.5 ≈ 987.333, 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 that all factors of 1481 are prime numbers. However, 1481 is a prime number, so its only factorization involves itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not recognizing that 1481 is a prime number and incorrectly attempting to factorize it further.
Factors of 1481 Examples
Problem 1
A concert has 1481 seats, and they need to be grouped into sections of 1. How many sections will there be?
There will be 1481 sections.
Explanation
To determine the number of sections, divide the total seats by the group size.
1481/1 = 1481
Problem 2
A farmer has 1481 apples and wants to distribute them into 1 basket. How many apples will be in the basket?
1481 apples.
Explanation
All apples go into one basket.
1481/1 = 1481
Problem 3
A library has 1481 books to be placed on a single shelf. How many books will be on the shelf?
1481 books.
Explanation
All books are placed on one shelf.
1481/1 = 1481
FAQs on Factors of 1481
1.What are the factors of 1481?
2.Is 1481 a prime number?
3.What is the prime factorization of 1481?
Important Glossaries for Factor of 1481
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1481 are 1 and 1481.
- Prime factors: The factors which are prime numbers. For example, 1481 is a prime factor of itself.
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 1481 is a prime number.
- 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 1481 is (1, 1481).
- Negative factors: Factors that are negative. For example, the negative factors of 1481 are -1 and -1481.
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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.
