123 LearnersLast updated on May 26th, 2025
Factors of 1642
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 1642, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1642?
The numbers that divide 1642 evenly are known as factors of 1642. A factor of 1642 is a number that divides the number without a remainder. The factors of 1642 are 1, 2, 821, and 1642. Negative factors of 1642: -1, -2, -821, and -1642. Prime factors of 1642: 2 and 821. Prime factorization of 1642: 2 × 821. The sum of factors of 1642: 1 + 2 + 821 + 1642 = 2466
How to Find Factors of 1642?
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 1642. Identifying the numbers which are multiplied to get the number 1642 is the multiplication method. Step 1: Multiply 1642 by 1, 1642 × 1 = 1642. Step 2: Check for other numbers that give 1642 after multiplying 2 × 821 = 1642 Therefore, the positive factor pairs of 1642 are: (1, 1642) and (2, 821). All these factor pairs result in 1642. 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 as whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 1642 by 1, 1642 ÷ 1 = 1642. Step 2: Continue dividing 1642 by the numbers until the remainder becomes 0. 1642 ÷ 1 = 1642 1642 ÷ 2 = 821 Therefore, the factors of 1642 are: 1, 2, 821, and 1642.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1642 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1642 ÷ 2 = 821 821 is a prime number and cannot be divided further. The prime factors of 1642 are 2 and 821. The prime factorization of 1642 is: 2 × 821.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1642 is divided by 2 to get 821. Step 2: 821 is a prime number and cannot be divided further. So, the prime factorization of 1642 is: 2 × 821. 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 1642: (1, 1642) and (2, 821). Negative factor pairs of 1642: (-1, -1642) and (-2, -821).
Common Mistakes and How to Avoid Them in Factors of 1642
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 factors for every number. Always remember to include 1 and the number itself. For example, in factors of 1642, 1 and 1642 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 1642 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors. For example, thinking 1.5 as a factor, because 1642/1.5 = 1094.666..., and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1642 are prime numbers. For example, 2 and 821 are the prime factors of 1642, but it has other factors like 1 and 1642.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 1642 as 2 × 821 and missing all the key factors.
Factors of 1642 Examples
Problem 1
There are 4 families and 1642 apples. How will they divide them equally?
They will get 410.5 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of families. 1642/4 = 410.5
Problem 2
A piece of land is rectangular, the length of the land is 2 meters and the total area is 1642 square meters. Find the width?
821 meters.
Explanation
To find the width of the land, we use the formula, Area = length × width 1642 = 2 × width To find the value of width, we need to shift 2 to the left side. 1642/2 = width Width = 821.
Problem 3
There are 821 cards and 1642 envelopes. How many cards will go in each envelope?
Each envelope will have 0.5 cards.
Explanation
To find the cards in each envelope, divide the total cards with the envelopes. 821/1642 = 0.5
Problem 4
In a company, there are 1642 employees and 2 teams. How many employees are there in each team?
There are 821 employees in each team.
Explanation
Dividing the employees with the total teams, we will get the number of employees in each team. 1642/2 = 821
Problem 5
1642 packages need to be arranged in 821 boxes. How many packages will go in each box?
Each of the boxes has 2 packages.
Explanation
Divide total packages with boxes. 1642/821 = 2
FAQs on Factors of 1642
1.What are the factors of 1642?
2.Mention the prime factors of 1642.
3.Is 1642 a multiple of 2?
4.Mention the factor pairs of 1642?
5.What is the square of 1642?
6.How can children in India use numbers in everyday life to understand Factors of 1642?
7.What are some fun ways kids in India can practice Factors of 1642 with numbers?
8.What role do numbers and Factors of 1642 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1642 skills?
Important Glossaries for Factor of 1642
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1642 are 1, 2, 821, and 1642. Prime factors: The factors which are prime numbers. For example, 2 and 821 are prime factors of 1642. 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 1642 are (1, 1642) and (2, 821). Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1642 is 2 × 821. Multiplication method: A technique for identifying factor pairs by multiplying numbers to achieve the target number, such as finding pairs for 1642.
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About BrightChamps in India
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.
