118 LearnersLast updated on May 26th, 2025
Factors of 1637
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.
What are the Factors of 1637?
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
How to Find Factors of 1637?
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 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.
Finding Factors Using Division Method
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.
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, 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
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 1637, 1 and 1637 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 1637 consist of -1 and -1637.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 is a factor, because 1637/1.5 = 1091.333, and it is not a whole number.
Mistake 4
Confusing Factors With Multiples
Remember that factors are numbers that can divide the given number, not numbers that the given number can divide.
For example, thinking all numbers that 1637 can divide evenly are factors. Factors of 1637 include only 1 and 1637 itself.
Mistake 5
Mistake in Prime Factorization
Children might try to factorize a prime number unnecessarily.
For example, trying to break down 1637 further when it is already a prime number.
Factors of 1637 Examples
Problem 1
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.
Explanation
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.
Problem 2
A gallery has 1637 paintings, each on a separate wall. How many walls are there?
There are 1637 walls.
Explanation
Since each painting is on a separate wall, the number of walls equals the number of paintings, which is 1637.
Problem 3
A library has 1637 unique books, each needing a separate section. How many sections are there?
There are 1637 sections.
Explanation
Each book needs a separate section, so the number of sections equals the number of books, which is 1637.
Problem 4
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.
Explanation
Since each seat is occupied, the number of people equals the number of seats, which is 1637.
Problem 5
1637 students are to be seated in a hall, one student per seat. How many seats are required?
1637 seats are required.
Explanation
Each student needs a separate seat, so the number of seats equals the number of students, which is 1637.
FAQs on Factors of 1637
1.What are the factors of 1637?
2.Mention the prime factor of 1637.
3.Is 1637 a prime number?
4.Mention the factor pair of 1637?
5.Is 1637 divisible by 3?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1637?
7.What are some fun ways kids in Qatar can practice Factors of 1637 with numbers?
8.What role do numbers and Factors of 1637 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1637 skills?
Important Glossaries for Factor of 1637
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1637 are 1 and 1637.
- Prime factors: The factors which are prime numbers. For example, 1637 is a prime factor of itself.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1637 is a prime number.
- Factor pair: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 1637 is (1, 1637).
- Divisibility: The ability of one number to be divided by another without leaving a remainder. For example, 1637 is divisible by 1 and 1637 but not by any other numbers except its negative counterparts.
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About BrightChamps in Qatar
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.
