123 LearnersLast updated on May 26th, 2025
Factors of 1643
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 1643, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1643?
The numbers that divide 1643 evenly are known as factors of 1643. A factor of 1643 is a number that divides the number without remainder. The factors of 1643 are 1, 29, 57, and 1643. Negative factors of 1643: -1, -29, -57, and -1643. Prime factors of 1643: 29 and 57. Prime factorization of 1643: 29 × 57. The sum of factors of 1643: 1 + 29 + 57 + 1643 = 1730.
How to Find Factors of 1643?
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 1643. Identifying the numbers which are multiplied to get the number 1643 is the multiplication method. Step 1: Multiply 1643 by 1, 1643 × 1 = 1643. Step 2: Check for other numbers that give 1643 after multiplying 29 × 57 = 1643 Therefore, the positive factor pairs of 1643 are: (1, 1643) and (29, 57). All these factor pairs result in 1643. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 the simple division method - Step 1: Divide 1643 by 1, 1643 ÷ 1 = 1643. Step 2: Continue dividing 1643 by the numbers until the remainder becomes 0. 1643 ÷ 1 = 1643 1643 ÷ 29 = 57 Therefore, the factors of 1643 are: 1, 29, 57, and 1643.
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 1643 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1643 ÷ 29 = 57 57 ÷ 57 = 1 The prime factors of 1643 are 29 and 57. The prime factorization of 1643 is: 29 × 57.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1643 is divided by 29 to get 57. Step 2: Now divide 57 by 57 to get 1. Here, 57 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1643 is: 29 × 57. 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 1643: (1, 1643), (29, 57). Negative factor pairs of 1643: (-1, -1643), (-29, -57).
Common Mistakes and How to Avoid Them in Factors of 1643
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 1643, 1 and 1643 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 1643 consist of -1, -29, 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 1643/1.5 = 1095.333, 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 1643 are prime numbers. 29 and 57 are the prime factors of 1643, but it has other factors like 1 and 1643.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 1643 as 29 × 57 and missing key factors.
Factors of 1643 Examples
Problem 1
There are 29 participants and 1643 tokens. How will they divide it equally?
They will get 57 tokens each.
Explanation
To divide the tokens equally, we need to divide the total tokens by the number of participants. 1643/29 = 57
Problem 2
A board is rectangular, the length of the board is 29 meters and the total area is 1643 square meters. Find the width?
57 meters.
Explanation
To find the width of the board, we use the formula, Area = length × width 1643 = 29 × width To find the value of width, we need to shift 29 to the left side. 1643/29 = width Width = 57.
Problem 3
There are 57 baskets and 1643 apples. How many apples will be in each basket?
Each basket will have 29 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets. 1643/57 = 29
Problem 4
In a conference, there are 1643 attendees, and 29 groups. How many attendees are there in each group?
There are 57 attendees in each group.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group. 1643/29 = 57
Problem 5
1643 files need to be organized in 29 folders. How many files will go in each folder?
Each of the folders has 57 files.
Explanation
Divide total files by folders. 1643/29 = 57
FAQs on Factors of 1643
1.What are the factors of 1643?
2.Mention the prime factors of 1643.
3.Is 1643 a multiple of 29?
4.Mention the factor pairs of 1643?
5.What is the square of 1643?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1643?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1643 with numbers?
8.What role do numbers and Factors of 1643 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1643 skills?
Important Glossaries for Factor of 1643
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1643 are 1, 29, 57, and 1643. Prime factors: The factors which are prime numbers. For example, 29 and 57 are prime factors of 1643. 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 1643 are (1, 1643) and (29, 57). Prime factorization: Writing a number as a product of its prime factors. For example, the prime factorization of 1643 is 29 × 57. Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -29, -57, and -1643 are negative factors of 1643.
Explore More numbers
About BrightChamps in United Arab Emirates
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.
