123 LearnersLast updated on May 26th, 2025
Factors of 1373
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 1373, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1373?
The numbers that divide 1373 evenly are known as factors of 1373.
A factor of 1373 is a number that divides the number without a remainder.
Since 1373 is a prime number, its only factors are 1 and 1373.
Negative factors of 1373: -1 and -1373.
Prime factors of 1373: 1373 (itself, as it is a prime number).
Prime factorization of 1373: 1373 × 1.
The sum of factors of 1373: 1 + 1373 = 1374
How to Find Factors of 1373?
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 1373. Since 1373 is a prime number, the multiplication method is straightforward:
Step 1: Multiply 1373 by 1, 1373 × 1 = 1373.
Therefore, the positive factor pair of 1373 is: (1, 1373).
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 that result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1373 by 1, 1373 ÷ 1 = 1373.
Step 2: Check if 1373 is divisible by any other whole numbers.
Since 1373 is a prime number, it is only divisible by 1 and itself.
Therefore, the factors of 1373 are: 1 and 1373.
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 a factor tree
Using Prime Factorization: In this process, since 1373 is a prime number, it is already in its prime factorized form.
The prime factors of 1373 are: 1373.
The prime factorization of 1373 is: 1373 × 1.
Factor Tree
Since 1373 is a prime number, creating a factor tree is straightforward. The factor tree representation shows:
Step 1: 1373 is divided by 1 to get 1373. Since 1373 is a prime number, it cannot be broken down further into other prime factors. So, the prime factorization of 1373 is: 1373 × 1.
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 1373: (1, 1373).
Negative factor pairs of 1373: (-1, -1373).
Common Mistakes and How to Avoid Them in Factors of 1373
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1373, 1 and 1373 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1373 consist of -1 and -1373.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor, because 1373/1.5 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 1373 are prime numbers. In reality, 1373 is a prime number, so its factors are only 1 and 1373.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing that 1373 is already a prime number and does not have additional prime factors.
Factors of 1373 Examples
Problem 1
A team has 1373 members and wants to divide them into 1 group. How many members will be in the group?
All 1373 members will be in one group.
Explanation
To divide the team into groups, we need to divide the total members by the number of groups.
1373/1 = 1373
Problem 2
There is a long bench that can fit 1373 people. How many sections do you need if each section holds 1 person?
1373 sections.
Explanation
To find the number of sections, we divide the total number of people by the number of people per section:
1373/1 = 1373
Problem 3
A library has 1373 books. If each shelf holds 1 book, how many shelves are needed?
1373 shelves.
Explanation
To find the number of shelves, divide the total books by the number of books per shelf:
1373/1 = 1373
Problem 4
A company has 1373 employees and wants to give each of them a unique badge number starting from 1. What will be the highest badge number?
1373
Explanation
The highest badge number corresponds to the total number of employees, which is: 1373
Problem 5
If a concert venue has 1373 seats, how many rows are needed if each row has 1 seat?
1373 rows.
Explanation
To determine the number of rows, divide the total seats by the number of seats per row:
1373/1 = 1373
FAQs on Factors of 1373
1.What are the factors of 1373?
2.Mention the prime factors of 1373.
3.Is 1373, a multiple of 2?
4.Mention the factor pairs of 1373?
5.Is 1373 a prime number?
Important Glossaries for Factors of 1373
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1373 are 1 and 1373.
- Prime factors: The factors which are prime numbers. For example, 1373 is a prime factor of 1373.
- 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 1373 is (1, 1373).
- Prime number: A number that has no divisors other than 1 and itself. For example, 1373 is a prime number.
- Division method: A method used to find factors by dividing the given number until the remainder is zero. For example, using the division method to find factors of 1373 results in 1 and 1373.
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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.
