120 LearnersLast updated on May 26th, 2025
Factors of 1335
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 1335, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1335?
The numbers that divide 1335 evenly are known as factors of 1335.
A factor of 1335 is a number that divides the number without remainder.
The factors of 1335 are 1, 3, 5, 9, 15, 45, 89, 267, 445, and 1335.
Negative factors of 1335: -1, -3, -5, -9, -15, -45, -89, -267, -445, and -1335.
Prime factors of 1335: 3, 5, and 89.
Prime factorization of 1335: 3 × 5 × 89.
The sum of factors of 1335: 1 + 3 + 5 + 9 + 15 + 45 + 89 + 267 + 445 + 1335 = 2214
How to Find Factors of 1335?
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 1335. Identifying the numbers which are multiplied to get the number 1335 is the multiplication method.
Step 1: Multiply 1335 by 1, 1335 × 1 = 1335.
Step 2: Check for other numbers that give 1335 after multiplying
3 × 445 = 1335
5 × 267 = 1335
9 × 145 = 1335
15 × 89 = 1335
Therefore, the positive factor pairs of 1335 are: (1, 1335), (3, 445), (5, 267), (9, 145), (15, 89).
All these factor pairs result in 1335.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 a simple division method
Step 1: Divide 1335 by 1, 1335 ÷ 1 = 1335.
Step 2: Continue dividing 1335 by the numbers until the remainder becomes 0.
1335 ÷ 1 = 1335
1335 ÷ 3 = 445
1335 ÷ 5 = 267
1335 ÷ 9 = 145
1335 ÷ 15 = 89
Therefore, the factors of 1335 are: 1, 3, 5, 9, 15, 45, 89, 267, 445, 1335.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 1335 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1335 ÷ 3 = 445
445 ÷ 5 = 89
89 ÷ 89 = 1
The prime factors of 1335 are 3, 5, and 89.
The prime factorization of 1335 is: 3 × 5 × 89.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1335 is divided by 3 to get 445.
Step 2: Now divide 445 by 5 to get 89.
Step 3: Here, 89 is a prime number and cannot be divided anymore. So, the prime factorization of 1335 is: 3 × 5 × 89.
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 1335: (1, 1335), (3, 445), (5, 267), (9, 145), and (15, 89).
Negative factor pairs of 1335: (-1, -1335), (-3, -445), (-5, -267), (-9, -145), and (-15, -89).
Common Mistakes and How to Avoid Them in Factors of 1335
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
People 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 1335, 1 and 1335 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1335 consist of -1, -3, -5, etc.
Mistake 3
Including the Fraction
Individuals might sometimes mistakenly add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1335/1.5 = 890, 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 1335 are prime numbers.
For example, 3, 5, and 89 are the prime factors of 1335, but it has other factors like 15, 45.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1335 as 3 × 5 × 89 and missing all the key factors.
Factors of 1335 Examples
Problem 1
There are 9 families and 1335 apples. How will they divide it equally?
They will get 145 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of families.
1335/9 = 145
Problem 2
A garden is rectangular, the length of the garden is 15 meters and the total area is 1335 square meters. Find the width?
89 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1335 = 15 × width
To find the value of width, we need to shift 15 to the left side.
1335/15 = width
Width = 89.
Problem 3
There are 267 crates and 1335 oranges. How many oranges will be in each crate?
Each crate will have 5 oranges.
Explanation
To find the oranges in each crate, divide the total oranges by the crates.
1335/267 = 5
Problem 4
In a competition, there are 1335 participants, and 5 groups. How many participants are there in each group?
There are 267 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1335/5 = 267
Problem 5
1335 books need to be arranged in 3 stacks. How many books will go in each stack?
Each of the stacks has 445 books.
Explanation
Divide total books by stacks.
1335/3 = 445
FAQs on Factors of 1335
1.What are the factors of 1335?
2.Mention the prime factors of 1335.
3.Is 1335 a multiple of 9?
4.Mention the factor pairs of 1335?
5.What is the square of 1335?
Important Glossaries for Factors of 1335
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1335 are 1, 3, 5, 9, 15, 45, 89, 267, 445, and 1335.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 89 are prime factors of 1335.
- 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 1335 are (1, 1335), (3, 445), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1335 is 3 × 5 × 89.
- Multiple: A number is a multiple of another if it can be divided by that number without a remainder. For instance, 1335 is a multiple of 9.
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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.
