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 -23, how they are used in real life, and tips to learn them quickly.
The numbers that divide -23 evenly are known as factors of -23.
A factor of -23 is a number that divides the number without remainder.
The factors of -23 are 1 and -23.
Negative factors of -23: -1 and -23.
Prime factors of -23: -23 (since -23 is a negative prime number).
The sum of factors of -23: 1 + (-23) = -22
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 -23. Identifying the numbers which are multiplied to get the number -23 is the multiplication method.
Step 1: Multiply -23 by 1, -23 × 1 = -23.
Since -23 is a prime number, there are no other pairs that can be multiplied to give -23.
Therefore, the factor pairs of -23 are: (1, -23) and (-1, 23).
Dividing the given number by 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 the simple division method
Step 1: Divide -23 by 1, -23 ÷ 1 = -23.
Step 2: Divide -23 by itself, -23 ÷ -23 = 1.
Therefore, the factors of -23 are: 1 and -23.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: Since -23 is a prime number, it can only be divided by -23 and 1.
The prime factorization of -23 is: -23.
A factor tree is not applicable for -23 as it is a prime number.
Factor trees are used for composite numbers to break them down into prime factors.
Since -23 is a prime, no further breakdown is possible.
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
There are 23 people in a group, and they want to form a single line for a photo. How can they do it?
They will form one line with all 23 people.
To arrange all members in a single line, they use the factor of 23 itself, which is 1 line containing all 23 people.
A teacher has 23 books and wants to give them to each of her students, ensuring each student gets one book. How many students can receive a book?
23 students.
Each student can receive one book because 23 books divided by 1 book per student equals 23 students.
A group of 23 hikers split into smaller groups, ensuring each group has one hiker. How many groups are formed?
23 groups.
The hikers form groups of one since 23 divided by 1 equals 23.
A factory produces 23 identical widgets. How many complete sets of widgets can be made if each set consists of one widget?
23 sets.
Each set consists of one widget, so 23 divided by 1 equals 23 complete sets.
A concert hall has 23 seats. How many rows of seats are there if each row has one seat?
23 rows.
Each row has one seat, so 23 divided by 1 equals 23 rows.
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.