Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods: -
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.
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.
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.
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. -
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 1543 marbles and 1 container. How do you distribute the marbles?
All 1543 marbles will go into the single container.
Since there is only 1 container, all marbles will be placed in it:
1543/1 = 1543
A rope is 1543 meters long and needs to be cut into 1-meter pieces. How many pieces will you get?
1543 pieces.
To find the number of 1-meter pieces, divide the total length by 1.
1543/1 = 1543
You have 1543 seeds and 1 pot. How will you distribute them?
All 1543 seeds go into the one pot.
Since there is only 1 pot, all seeds will be placed in it:
1543/1 = 1543
There are 1543 pages and 1 reader. How many pages does the reader read?
The reader reads all 1543 pages.
Since there is only 1 reader, all pages will be read by them:
1543/1 = 1543
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.
Since there is only 1 row, all chairs go into it:
1543/1 = 1543
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.
: She loves to read number jokes and games.