115 LearnersLast updated on May 26th, 2025
Factors of 1973
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 1973, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1973?
The numbers that divide 1973 evenly are known as factors of 1973.
A factor of 1973 is a number that divides the number without a remainder.
The factors of 1973 are 1 and 1973 because 1973 is a prime number.
Negative factors of 1973: -1, -1973.
Prime factors of 1973: 1973.
Prime factorization of 1973: 1973 (as it is a prime number itself).
The sum of factors of 1973: 1 + 1973 = 1974
How to Find Factors of 1973?
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 1973. Since 1973 is a prime number, it only has two factor pairs: (1, 1973).
Therefore, the positive factor pair of 1973 is: (1, 1973).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1973 by 1, 1973 ÷ 1 = 1973.
Step 2: Check other numbers to see if they divide 1973 without a remainder.
Since 1973 is a prime number, it can only be divided evenly by 1 and itself.
Therefore, the factors of 1973 are: 1 and 1973.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. Since 1973 is a prime number, its only prime factor is itself. We can confirm this by attempting to divide 1973 by smaller prime numbers (such as 2, 3, 5, 7, etc.) and noting that none of them divide 1973 without a remainder. Therefore, the prime factorization of 1973 is simply 1973 itself, as it cannot be further broken down into other prime factors.
Factor Tree
A factor tree is a graphical representation of breaking down any number into its prime factors. For 1973, the factor tree is simple because 1973 is a prime number. Thus, the factor tree shows that 1973 does not branch further. So, the prime factorization of 1973 is: 1973.
Common Mistakes and How to Avoid Them in Factors of 1973
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 1973, 1 and 1973 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1973 consist of -1 and -1973.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because dividing 1973 by 1.5 gives a non-whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole number, not just primes.
For example, thinking all factors of 1973 are prime numbers. Since 1973 is prime, it only has itself and 1 as factors.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not verifying that 1973 is a prime number and incorrectly trying to express it as a product of smaller numbers.
Factors of 1973 Examples
Problem 1
There are 1973 apples and 1 basket. How will they divide it equally?
All 1973 apples will go into the one basket.
Explanation
Since there is only 1 basket, all apples go into it.
1973/1 = 1973
Problem 2
A monument has a single path that is 1973 meters long. How many meters is each section if divided into 1 section?
1973 meters.
Explanation
If the path is divided into 1 section, the whole path will be that section.
1973/1 = 1973
Problem 3
A concert venue has 1 row with 1973 seats. How many seats are in each row?
1973 seats in the row.
Explanation
Since there is only 1 row, it contains all the seats.
1973/1 = 1973
Problem 4
A single book has 1973 pages. How many pages are in each book if there is only 1 book?
1973 pages.
Explanation
Since there is only 1 book, it contains all the pages.
1973/1 = 1973
Problem 5
A chef has 1973 grams of flour and wants to use it all in one recipe. How much flour will he use?
1973 grams.
Explanation
The chef uses all the flour for the recipe.
1973/1 = 1973
FAQs on Factors of 1973
1.What are the factors of 1973?
2.Mention the prime factors of 1973.
3.Is 1973 a multiple of 2?
4.Mention the factor pairs of 1973?
5.Is 1973 a prime number?
6.How can children in India use numbers in everyday life to understand Factors of 1973?
7.What are some fun ways kids in India can practice Factors of 1973 with numbers?
8.What role do numbers and Factors of 1973 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1973 skills?
Important Glossaries for Factors of 1973
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1973 are 1 and 1973.
- Prime factors: The factors which are prime numbers. For example, 1973 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 pair of 1973 is (1, 1973).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. Example: 1973.
- Division method: A method of finding factors by dividing the number by other numbers to see if there is no remainder.
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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.
