119 LearnersLast updated on June 9th, 2025
Factors of 1488
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.
What are the Factors of 1488?
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
How to Find Factors of 1488?
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, 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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1488
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
Children 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 1488, 1 and 1488 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors, but there are also negative factors. Always check whether you have mentioned negative factors.
For example, the factors of 1488 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1488/1.5 = 992, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1488 are prime numbers.
For example, 2, 3, and 31 are the prime factors of 1488, but it has other factors like 4, 16.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1488 as 2^4 × 3 × 31 and missing all the key factors.
Factors of 1488 Examples
Problem 1
There are 31 groups and 1488 candies. How will they divide them equally?
They will get 48 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of groups.
1488/31 = 48
Problem 2
A rectangular garden has a length of 62 meters, and the total area is 1488 square meters. Find the width.
24 meters.
Explanation
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.
Problem 3
There are 124 crates and 1488 apples. How many apples will be in each crate?
Each crate will have 12 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
1488/124 = 12
Problem 4
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.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
1488/48 = 31
Problem 5
1488 books need to be arranged in 31 shelves. How many books will go on each shelf?
Each shelf has 48 books.
Explanation
Divide total books by shelves.
1488/31 = 48
FAQs on Factors of 1488
1.What are the factors of 1488?
2.Mention the prime factors of 1488.
3.Is 1488 a multiple of 16?
4.Mention the factor pairs of 1488?
5.What is the square of 1488?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1488?
7.What are some fun ways kids in United Kingdom can practice Factors of 1488 with numbers?
8.What role do numbers and Factors of 1488 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1488 skills?
Important Glossaries for Factors of 1488
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, and 1488.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 31 are prime factors of 1488.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1488 are (1, 1488), (2, 744), etc.
- Prime factorization: Breaking down a number into a product of prime numbers. For example, the prime factorization of 1488 is 24 × 3 × 31.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied together to obtain the original number.
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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.
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