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 1335, how they are used in real life, and the tips to learn them quickly.
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
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 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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
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 9 families and 1335 apples. How will they divide it equally?
They will get 145 apples each.
To divide the apples equally, we need to divide the total apples by the number of families.
1335/9 = 145
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.
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.
There are 267 crates and 1335 oranges. How many oranges will be in each crate?
Each crate will have 5 oranges.
To find the oranges in each crate, divide the total oranges by the crates.
1335/267 = 5
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.
Dividing the participants by the total groups, we will get the number of participants in each group.
1335/5 = 267
1335 books need to be arranged in 3 stacks. How many books will go in each stack?
Each of the stacks has 445 books.
Divide total books by stacks.
1335/3 = 445
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.