125 LearnersLast updated on June 9th, 2025
Factors of 1485
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 1485, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1485?
The numbers that divide 1485 evenly are known as factors of 1485.
A factor of 1485 is a number that divides the number without a remainder.
The factors of 1485 are 1, 3, 5, 9, 15, 27, 45, 55, 81, 165, 297, 495, and 1485.
Negative factors of 1485: -1, -3, -5, -9, -15, -27, -45, -55, -81, -165, -297, -495, and -1485.
Prime factors of 1485: 3, 5, and 11.
Prime factorization of 1485: 33 × 5 × 11.
The sum of factors of 1485: 1 + 3 + 5 + 9 + 15 + 27 + 45 + 55 + 81 + 165 + 297 + 495 + 1485 = 2683
How to Find Factors of 1485?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1485. Identifying the numbers which are multiplied to get the number 1485 is the multiplication method.
Step 1: Multiply 1485 by 1, 1485 × 1 = 1485.
Step 2: Check for other numbers that give 1485 after multiplying
3 × 495 = 1485
5 × 297 = 1485
9 × 165 = 1485
15 × 99 = 1485
27 × 55 = 1485
Therefore, the positive factor pairs of 1485 are: (1, 1485), (3, 495), (5, 297), (9, 165), (15, 99), (27, 55). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 1485 by 1, 1485 ÷ 1 = 1485.
Step 2: Continue dividing 1485 by the numbers until the remainder becomes 0.
1485 ÷ 1 = 1485
1485 ÷ 3 = 495
1485 ÷ 5 = 297
1485 ÷ 9 = 165
1485 ÷ 15 = 99
1485 ÷ 27 = 55
Therefore, the factors of 1485 are: 1, 3, 5, 9, 15, 27, 45, 55, 81, 165, 297, 495, 1485.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1485 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1485 ÷ 3 = 495
495 ÷ 3 = 165
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 1485 are 3, 5, and 11.
The prime factorization of 1485 is: 33 × 5 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1485 is divided by 3 to get 495.
Step 2: Now divide 495 by 3 to get 165.
Step 3: Then divide 165 by 3 to get 55.
Step 4: Divide 55 by 5 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1485 is: 33 × 5 × 11.
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 1485: (1, 1485), (3, 495), (5, 297), (9, 165), (15, 99), and (27, 55).
Negative factor pairs of 1485: (-1, -1485), (-3, -495), (-5, -297), (-9, -165), (-15, -99), and (-27, -55).
Common Mistakes and How to Avoid Them in Factors of 1485
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 1485, 1 and 1485 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1485 consist of -1, -3, -5, 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 1485/1.5 = 990, 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 1485 are prime numbers. For example, 3, 5, and 11 are the prime factors of 1485, but it has other factors like 9, 27.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1485 as 3^3 × 5 × 11 and missing all the key factors.
Factors of 1485 Examples
Problem 1
There are 9 teachers and 1485 students. How will they distribute the students equally among themselves?
They will have 165 students each.
Explanation
To distribute the students equally, we need to divide the total number of students by the number of teachers.
1485/9 = 165
Problem 2
A rectangular garden has a length of 55 meters and a total area of 1485 square meters. Find the width.
27 meters.
Explanation
To find the width of the garden, we use the formula: Area = length × width
1485 = 55 × width
To find the value of width, we need to shift 55 to the left side.
1485/55 = width
Width = 27.
Problem 3
There are 11 cartons and 1485 apples. How many apples will be in each carton?
Each carton will have 135 apples.
Explanation
To find the apples in each carton, divide the total apples by the number of cartons.
1485/11 = 135
Problem 4
In a school, there are 495 students and 5 classes. How many students are there in each class?
There are 99 students in each class.
Explanation
Dividing the students by the total number of classes, we will get the number of students in each class.
495/5 = 99
Problem 5
1485 books need to be arranged in 15 shelves. How many books will go on each shelf?
Each shelf will have 99 books.
Explanation
Divide the total number of books by the number of shelves.
1485/15 = 99
FAQs on Factors of 1485
1.What are the factors of 1485?
2.Mention the prime factors of 1485.
3.Is 1485 a multiple of 9?
4.Mention the factor pairs of 1485?
5.What is the square of 1485?
Important Glossaries for Factors of 1485
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1485 are 1, 3, 5, 9, 15, 27, 45, 55, 81, 165, 297, 495, and 1485.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 11 are the prime factors of 1485.
- 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 1485 are (1, 1485), (3, 495), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For 1485, it is 33 × 5 × 11.
- Division method: A technique to find factors by dividing the number by integers to check for divisibility, resulting in factors when the division leaves no remainder.
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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.
Fun Fact
: She loves to read number jokes and games.
