127 LearnersLast updated on May 26th, 2025
Factors of 373
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 373, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 373?
The numbers that divide 373 evenly are known as factors of 373. A factor of 373 is a number that divides the number without remainder. The factors of 373 are 1 and 373, as it is a prime number.
Negative factors of 373: -1 and -373.
Prime factors of 373: 373 itself.
The sum of factors of 373: 1 + 373 = 374
How to Find Factors of 373?
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 the pairs of numbers that are multiplied to give 373. Since 373 is a prime number, the only multiplication that gives 373 is:
Step 1: Multiply 373 by 1, 373 × 1 = 373. Therefore, the positive factor pairs of 373 are: (1, 373).
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 373 by 1, 373 ÷ 1 = 373.
Step 2: Check if any number other than 1 and 373 divides the number without a remainder.
Since 373 is a prime number, no other division results in a whole number except 1 and 373.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. Since 373 is a prime number, it cannot be broken down further:
The prime factorization of 373 is: 373.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 373 is a prime number, it cannot be broken down further using a factor tree.
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 373: (1, 373).
Negative factor pair of 373: (-1, -373).
Common Mistakes and How to Avoid Them in Factors of 373
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 any given number. Always remember to include 1 and the number itself.
For example, in factors of 373, 1 and 373 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 373 include -1 and -373.
Mistake 3
Including Fractions
Children might sometimes think fractions can be factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 373/1.5 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, in the case of 373, it is a prime number, so 1 and 373 are the factors.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not recognizing that 373 is a prime number and mistakenly attempting to factorize it further.
Factors of 373 Examples
Problem 1
There are 373 pages in a book. How can they be divided among 1 reader?
The reader will get all 373 pages.
Explanation
Since there is only 1 reader, all 373 pages will be given to that reader.
373/1 = 373
Problem 2
A long track is 373 meters. If you run the track once, how many meters have you run?
You have run 373 meters.
Explanation
Running the track once means covering the entire distance of 373 meters.
Problem 3
A box contains 373 marbles. If you put all of them in one jar, how many marbles will be in the jar?
The jar will contain 373 marbles.
Explanation
Since all marbles are placed in one jar, the total number in the jar will be 373.
Problem 4
There are 373 students attending an event. If they sit in one large hall, how many students are in the hall?
There are 373 students in the hall.
Explanation
As all students are in one hall, the total number of students in the hall is 373.
Problem 5
A library has 373 books. If all books are placed on one shelf, how many books are on the shelf?
The shelf contains 373 books.
Explanation
Since all the books are on one shelf, the total number of books on the shelf is 373.
FAQs on Factors of 373
1.What are the factors of 373?
2.Mention the prime factors of 373.
3.Is 373 a multiple of 1?
4.Mention the factor pairs of 373?
5.What is the square of 373?
6.How can children in India use numbers in everyday life to understand Factors of 373?
7.What are some fun ways kids in India can practice Factors of 373 with numbers?
8.What role do numbers and Factors of 373 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 373 skills?
Important Glossaries for Factors of 373
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 373 are 1 and 373.
- Prime factors: A factor that is a prime number. For example, 373 itself is a prime factor of 373.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 373 is (1, 373).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 373 is a prime number.
- Negative factors: Factors that are negative integers. For example, the negative factors of 373 are -1 and -373.
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About BrightChamps in India
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.
