118 LearnersLast updated on May 26th, 2025
Factors of 1543
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 1543, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1543?
The numbers that divide 1543 evenly are known as factors of 1543. A factor of 1543 is a number that divides the number without remainder. The factors of 1543 are 1 and 1543.
Negative factors of 1543: -1 and -1543.
Prime factors of 1543: 1543 itself (since it is a prime number).
Prime factorization of 1543: 1543 (as it is a prime number).
The sum of factors of 1543: 1 + 1543 = 1544
How to Find Factors of 1543?
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 for a prime number like 1543, we identify that it has only two factor pairs: 1 and itself. Therefore, the positive factor pairs of 1543 are: (1, 1543). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero helps in identifying the factors.
For 1543:
1543 ÷ 1 = 1543
1543 ÷ 1543 = 1
Therefore, the factors of 1543 are: 1 and 1543.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. For 1543, since it is a prime number, it only has itself as a prime factor. The prime factorization of 1543 is 1543.
Factor Tree
A factor tree is not applicable for 1543 since it is a prime number and does not break down into other prime factors.
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 1543: (1, 1543)
- Negative factor pairs of 1543: (-1, -1543)
Common Mistakes and How to Avoid Them in Factors of 1543
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
People 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 1543, 1 and 1543 are 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 1543 include -1 and -1543.
Mistake 3
Including the Fraction
Sometimes fractions might be mistakenly considered as factors. Only whole numbers can be factors. For example, thinking 0.5 is a factor of 1543 is incorrect.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes. For example, thinking all the factors of 1543 are prime numbers. However, 1543 itself is prime and thus only has 1 and 1543 as factors.
Mistake 5
Mistake in Factorization
People might skip steps in factorization and write incorrect factors. For example, not recognizing 1543 as a prime number and assuming it has other factors.
Factors of 1543 Examples
Problem 1
There are 1543 marbles and 1 container. How do you distribute the marbles?
All 1543 marbles will go into the single container.
Explanation
Since there is only 1 container, all marbles will be placed in it:
1543/1 = 1543
Problem 2
A rope is 1543 meters long and needs to be cut into 1-meter pieces. How many pieces will you get?
1543 pieces.
Explanation
To find the number of 1-meter pieces, divide the total length by 1.
1543/1 = 1543
Problem 3
You have 1543 seeds and 1 pot. How will you distribute them?
All 1543 seeds go into the one pot.
Explanation
Since there is only 1 pot, all seeds will be placed in it:
1543/1 = 1543
Problem 4
There are 1543 pages and 1 reader. How many pages does the reader read?
The reader reads all 1543 pages.
Explanation
Since there is only 1 reader, all pages will be read by them:
1543/1 = 1543
Problem 5
1543 chairs need to be placed in 1 row. How many chairs will be in each row?
All 1543 chairs will be in the one row.
Explanation
Since there is only 1 row, all chairs go into it:
1543/1 = 1543
FAQs on Factors of 1543
1.What are the factors of 1543?
2.Mention the prime factors of 1543.
3.Is 1543 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1543?
5.What is the square of 1543?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1543?
7.What are some fun ways kids in Qatar can practice Factors of 1543 with numbers?
8.What role do numbers and Factors of 1543 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1543 skills?
Important Glossary for Factors of 1543
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1543 are 1 and 1543.
- Prime factors: The factors which are prime numbers. For example, 1543 itself is a prime factor of 1543.
- 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 1543 is (1, 1543).
- Prime number: A number that has no divisors other than 1 and itself. For example, 1543 is a prime number.
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 1543 are -1 and -1543.
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About BrightChamps in Qatar
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.
