101 LearnersLast updated on May 26th, 2025
Factors of 1658
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 1658, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1658?
The numbers that divide 1658 evenly are known as factors of 1658. A factor of 1658 is a number that divides the number without remainder. The factors of 1658 are 1, 2, 829, and 1658. Negative factors of 1658: -1, -2, -829, and -1658. Prime factors of 1658: 2 and 829. Prime factorization of 1658: 2 × 829. The sum of factors of 1658: 1 + 2 + 829 + 1658 = 2490
How to Find Factors of 1658?
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using the 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 1658. Identifying the numbers which are multiplied to get the number 1658 is the multiplication method. Step 1: Multiply 1658 by 1, 1658 × 1 = 1658. Step 2: Check for other numbers that give 1658 after multiplying 2 × 829 = 1658 Therefore, the positive factor pairs of 1658 are: (1, 1658) and (2, 829). All these factor pairs result in 1658. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1658 by 1, 1658 ÷ 1 = 1658. Step 2: Continue dividing 1658 by the numbers until the remainder becomes 0. 1658 ÷ 1 = 1658 1658 ÷ 2 = 829 Therefore, the factors of 1658 are: 1, 2, 829, and 1658.
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 1658 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1658 ÷ 2 = 829 829 ÷ 829 = 1 The prime factors of 1658 are 2 and 829. The prime factorization of 1658 is: 2 × 829.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1658 is divided by 2 to get 829. Step 2: 829 is a prime number, so it cannot be divided further except by itself. So, the prime factorization of 1658 is: 2 × 829. 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 1658: (1, 1658) and (2, 829). Negative factor pairs of 1658: (-1, -1658) and (-2, -829).
Common Mistakes and How to Avoid Them in Factors of 1658
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 1658, 1 and 1658 are also factors.
Factors of 1658 Examples
Problem 1
A gardener has 1658 seeds and wants to plant them in rows with 2 seeds per row. How many rows will there be?
There will be 829 rows.
Explanation
To find the number of rows, divide the total seeds by the number of seeds per row. 1658/2 = 829
Problem 2
A rectangular parking lot has a length of 829 meters and a total area of 1658 square meters. What is the width?
2 meters.
Explanation
To find the width of the parking lot, we use the formula, Area = length × width 1658 = 829 × width To find the value of width, we need to shift 829 to the left side. 1658/829 = width Width = 2.
Problem 3
A school is distributing 1658 pencils among 1 class evenly. How many pencils does each student get?
Each student will get 1658 pencils.
Explanation
To find the pencils each student gets, divide the total pencils by the number of classes. 1658/1 = 1658
Problem 4
An event has 1658 chairs and 829 tables. How many chairs will go under each table?
There are 2 chairs under each table.
Explanation
Dividing the chairs by the total tables, we will get the number of chairs under each table. 1658/829 = 2
Problem 5
A library has 1658 books and wants to arrange them in 2 shelves. How many books will go on each shelf?
Each of the shelves has 829 books.
Explanation
Divide total books by shelves. 1658/2 = 829
FAQs on Factors of 1658
1.What are the factors of 1658?
2.Mention the prime factors of 1658.
3.Is 1658 a multiple of 2?
4.Mention the factor pairs of 1658?
5.What is the square of 1658?
Important Glossaries for Factors of 1658
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1658 are 1, 2, 829, and 1658. Prime factors: The factors which are prime numbers. For example, 2 and 829 are prime factors of 1658. 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 1658 are (1, 1658) and (2, 829). Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1658 is 2 × 829. Negative factors: The negative counterparts of the positive factors of a number. For example, the negative factors of 1658 are -1, -2, -829, and -1658.
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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.
