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 1488, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1488 evenly are known as factors of 1488.
A factor of 1488 is a number that divides the number without remainder.
The factors of 1488 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54, 62, 72, 93, 108, 124, 144, 186, 248, 279, 372, 496, 558, 744, and 1488.
Negative factors of 1488: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -31, -36, -48, -54, -62, -72, -93, -108, -124, -144, -186, -248, -279, -372, -496, -558, -744, and -1488.
Prime factors of 1488: 2, 3, and 31.
Prime factorization of 1488: 24 × 3 × 31.
The sum of factors of 1488: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 31 + 36 + 48 + 54 + 62 + 72 + 93 + 108 + 124 + 144 + 186 + 248 + 279 + 372 + 496 + 558 + 744 + 1488 = 5,616
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 1488. Identifying the numbers which are multiplied to get the number 1488 is the multiplication method.
Step 1: Multiply 1488 by 1, 1488 × 1 = 1488.
Step 2: Check for other numbers that give 1488 after multiplying
2 × 744 = 1488
3 × 496 = 1488
4 × 372 = 1488
6 × 248 = 1488
8 × 186 = 1488
12 × 124 = 1488
16 × 93 = 1488
18 × 82 = 1488
24 × 62 = 1488
27 × 55.111... (not a factor)
31 × 48 = 1488
36 × 41.333... (not a factor)
Therefore, the positive factor pairs of 1488 are: (1, 1488), (2, 744), (3, 496), (4, 372), (6, 248), (8, 186), (12, 124), (16, 93), (18, 82), (24, 62), (31, 48). All these factor pairs result in 1488.
For every positive factor, there is a negative factor.
Dividing the given number with 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 1488 by 1, 1488 ÷ 1 = 1488.
Step 2: Continue dividing 1488 by numbers until the remainder becomes 0.
1488 ÷ 1 = 1488
1488 ÷ 2 = 744
1488 ÷ 3 = 496
1488 ÷ 4 = 372
1488 ÷ 6 = 248
1488 ÷ 8 = 186
1488 ÷ 12 = 124
1488 ÷ 16 = 93
1488 ÷ 18 = 82.666... (not a factor)
1488 ÷ 24 = 62
1488 ÷ 31 = 48
Therefore, the factors of 1488 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1488 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1488 ÷ 2 = 744
744 ÷ 2 = 372
372 ÷ 2 = 186
186 ÷ 2 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
The prime factors of 1488 are 2, 3, and 31.
The prime factorization of 1488 is: 24 × 3 × 31.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1488 is divided by 2 to get 744.
Step 2: Now divide 744 by 2 to get 372.
Step 3: Then divide 372 by 2 to get 186.
Step 4: Divide 186 by 2 to get 93.
Step 5: Divide 93 by 3 to get 31.
Step 6: Here, 31 is a prime number that cannot be divided further. So, the prime factorization of 1488 is: 24 × 3 × 31.
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 1488: (1, 1488), (2, 744), (3, 496), (4, 372), (6, 248), (8, 186), (12, 124), (16, 93), (24, 62), (31, 48).
Negative factor pairs of 1488: (-1, -1488), (-2, -744), (-3, -496), (-4, -372), (-6, -248), (-8, -186), (-12, -124), (-16, -93), (-24, -62), (-31, -48).
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 31 groups and 1488 candies. How will they divide them equally?
They will get 48 candies each.
To divide the candies equally, we need to divide the total candies by the number of groups.
1488/31 = 48
A rectangular garden has a length of 62 meters, and the total area is 1488 square meters. Find the width.
24 meters.
To find the width of the garden, we use the formula, Area = length × width
1488 = 62 × width
To find the value of width, we need to divide 1488 by 62.
1488/62 = width
Width = 24.
There are 124 crates and 1488 apples. How many apples will be in each crate?
Each crate will have 12 apples.
To find the apples in each crate, divide the total apples by the crates.
1488/124 = 12
In a school, there are 1488 students, and 48 classes. How many students are there in each class?
There are 31 students in each class.
Dividing the students with the total classes, we will get the number of students in each class.
1488/48 = 31
1488 books need to be arranged in 31 shelves. How many books will go on each shelf?
Each shelf has 48 books.
Divide total books by shelves.
1488/31 = 48
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.