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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1523, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1523 evenly are known as factors of 1523.
A factor of 1523 is a number that divides the number without remainder.
The factors of 1523 are 1, 1523.
Negative factors of 1523: -1, -1523.
Prime factors of 1523: 1523.
Prime factorization of 1523: 1523 × 1.
The sum of factors of 1523: 1 + 1523 = 1524
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1523. Identifying the numbers which are multiplied to get the number 1523 is the multiplication method.
Step 1: Multiply 1523 by 1, 1523 × 1 = 1523.
Therefore, the positive factor pair of 1523 is: (1, 1523).
For every positive factor, there is a negative factor.
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 1523 by 1, 1523 ÷ 1 = 1523.
Step 2: Divide 1523 by 1523, 1523 ÷ 1523 = 1.
Therefore, the factors of 1523 are: 1, 1523.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1523 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1523 is a prime number itself, so it cannot be factored further.
The prime factorization of 1523 is: 1523 × 1.
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1523 is a prime number, there is no further breakdown. The prime factorization of 1523 is: 1523 × 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 pair of 1523: (1, 1523).
Negative factor pair of 1523: (-1, -1523).
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 1523 apples and 1 person. How will the person receive the apples?
They will receive all 1523 apples.
To distribute the apples, we divide the total apples by the number of people.
1523/1 = 1523
A farmer has a plot of land with an area of 1523 square meters. If the length of the plot is 1 meter, what is the width?
1523 meters.
To find the width of the plot, we use the formula, Area = length × width
1523 = 1 × width
Width = 1523
There are 1523 units of a product and 1 box. How many units will be in the box?
The box will contain all 1523 units.
To find out how many units go into each box, divide the total units by the number of boxes.
1523/1 = 1523
A library has 1523 books and 1 shelf. How many books will go on each shelf?
All 1523 books will go on the shelf.
Divide the total books by the number of shelves.
1523/1 = 1523
There are 1 group and 1523 candies. How many candies does the group get?
The group gets all 1523 candies.
Divide total candies by the number of groups.
1523/1 = 1523
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.