Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 1635, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1635 evenly are known as factors of 1635.
A factor of 1635 is a number that divides the number without a remainder.
The factors of 1635 are 1, 3, 5, 15, 109, 327, 545, and 1635.
Negative factors of 1635: -1, -3, -5, -15, -109, -327, -545, and -1635.
Prime factors of 1635: 3, 5, and 109.
Prime factorization of 1635: 3 × 5 × 109.
The sum of factors of 1635: 1 + 3 + 5 + 15 + 109 + 327 + 545 + 1635 = 2640
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 1635. Identifying the numbers which are multiplied to get the number 1635 is the multiplication method.
Step 1: Multiply 1635 by 1, 1635 × 1 = 1635.
Step 2: Check for other numbers that give 1635 after multiplying
3 × 545 = 1635
5 × 327 = 1635
15 × 109 = 1635
Therefore, the positive factor pairs of 1635 are: (1, 1635), (3, 545), (5, 327), and (15, 109). All these factor pairs result in 1635.
For every positive factor, there is a negative factor.
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 1635 by 1, 1635 ÷ 1 = 1635.
Step 2: Continue dividing 1635 by the numbers until the remainder becomes 0.
1635 ÷ 1 = 1635
1635 ÷ 3 = 545
1635 ÷ 5 = 327
1635 ÷ 15 = 109
Therefore, the factors of 1635 are: 1, 3, 5, 15, 109, 327, 545, 1635.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1635 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1635 ÷ 3 = 545
545 ÷ 5 = 109
109 ÷ 109 = 1
The prime factors of 1635 are 3, 5, and 109.
The prime factorization of 1635 is: 3 × 5 × 109.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1635 is divided by 3 to get 545.
Step 2: Now divide 545 by 5 to get 109.
Step 3: 109 is a prime number, so it cannot be divided anymore. So, the prime factorization of 1635 is: 3 × 5 × 109.
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 1635: (1, 1635), (3, 545), (5, 327), and (15, 109).
Negative factor pairs of 1635: (-1, -1635), (-3, -545), (-5, -327), and (-15, -109).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A farmer has 1635 apples to be packed equally in 3 boxes. How many apples will each box contain?
Each box will contain 545 apples.
To divide the apples equally, we need to divide the total apples by the number of boxes.
1635/3 = 545
A conference hall has a seating capacity of 1635, and there are 5 rows. How many seats are there in each row?
There are 327 seats in each row.
To find the number of seats in each row, we use the formula, Total seats = number of rows × seats per row
1635 = 5 × seats per row
To find the number of seats per row, divide: 1635/5 = 327
A library has 1635 books, and they need to be distributed equally across 15 shelves. How many books will each shelf contain?
Each shelf will contain 109 books.
To find the books on each shelf, divide the total books by the number of shelves.
1635/15 = 109
A total of 1635 people are attending a concert, and they are divided into 109 groups. How many people are in each group?
There are 15 people in each group.
Dividing the people by the total groups, we will get the number of people in each group.
1635/109 = 15
1635 chairs need to be arranged in 5 sections. How many chairs will go in each section?
Each section will have 327 chairs.
Divide the total chairs by the sections.
1635/5 = 327
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.