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 1637, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1637 evenly are known as factors of 1637.
A factor of 1637 is a number that divides the number without remainder.
The factors of 1637 are 1 and 1637.
Negative factors of 1637: -1 and -1637.
Prime factors of 1637: 1637.
Prime factorization of 1637: 1637 is a prime number.
The sum of factors of 1637: 1 + 1637 = 1638
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 1637. Since 1637 is a prime number, the only multiplication pair is:
Step 1: Multiply 1637 by 1, 1637 × 1 = 1637.
Therefore, the positive factor pair of 1637 is: (1, 1637).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1637 by 1, 1637 ÷ 1 = 1637.
Step 2: Check divisibility by numbers up to the square root of 1637.
Since 1637 is a prime number, it is only divisible by 1 and 1637.
Therefore, the factors of 1637 are: 1 and 1637.
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, since 1637 is a prime number, it cannot be broken down further.
The prime factor of 1637 is 1637 itself.
The prime factorization of 1637 is: 1637.
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1637 is a prime number, it cannot be broken down further. So, the prime factorization of 1637 is: 1637.
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 pair of 1637: (1, 1637).
Negative factor pair of 1637: (-1, -1637).
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 group of 1637 people are attending a concert. If they all stand in a single row, how many rows will there be?
There will be 1637 rows.
Since 1637 is a prime number, it can only be divided by 1 and itself, so they must stand in 1637 rows with 1 person in each row.
A gallery has 1637 paintings, each on a separate wall. How many walls are there?
There are 1637 walls.
Since each painting is on a separate wall, the number of walls equals the number of paintings, which is 1637.
A library has 1637 unique books, each needing a separate section. How many sections are there?
There are 1637 sections.
Each book needs a separate section, so the number of sections equals the number of books, which is 1637.
There are 1637 seats in a theater, and each seat is occupied. How many people are in the theater?
There are 1637 people in the theater.
Since each seat is occupied, the number of people equals the number of seats, which is 1637.
1637 students are to be seated in a hall, one student per seat. How many seats are required?
1637 seats are required.
Each student needs a separate seat, so the number of seats equals the number of students, which is 1637.
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.