128 LearnersLast updated on May 26th, 2025
Factors of 1793
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 1793, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1793?
The numbers that divide 1793 evenly are known as factors of 1793.
A factor of 1793 is a number that divides the number without remainder.
The factors of 1793 are 1, 29, 61, and 1793.
Negative factors of 1793: -1, -29, -61, and -1793.
Prime factors of 1793: 29 and 61.
Prime factorization of 1793: 29 × 61.
The sum of factors of 1793: 1 + 29 + 61 + 1793 = 1884
How to Find Factors of 1793?
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 1793. Identifying the numbers which are multiplied to get the number 1793 is the multiplication method.
Step 1: Multiply 1793 by 1, 1793 × 1 = 1793.
Step 2: Check for other numbers that give 1793 after multiplying.
29 × 61 = 1793
Therefore, the positive factor pairs of 1793 are: (1, 1793) and (29, 61).
All these factor pairs result in 1793.
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 a simple division method -
Step 1: Divide 1793 by 1, 1793 ÷ 1 = 1793.
Step 2: Continue dividing 1793 by the numbers until the remainder becomes 0.
1793 ÷ 1 = 1793
1793 ÷ 29 = 61
1793 ÷ 61 = 29
Therefore, the factors of 1793 are: 1, 29, 61, and 1793.
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 1793 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1793 ÷ 29 = 61
61 ÷ 61 = 1
The prime factors of 1793 are 29 and 61.
The prime factorization of 1793 is: 29 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1793 is divided by 29 to get 61.
Step 2: Divide 61 by 61 to get 1. Here, 61 is a prime number, and it cannot be divided anymore.
So, the prime factorization of 1793 is: 29 × 61.
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 1793: (1, 1793) and (29, 61).
Negative factor pairs of 1793: (-1, -1793) and (-29, -61).
Common Mistakes and How to Avoid Them in Factors of 1793
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
People 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 1793, 1 and 1793 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1793 consist of -1, -29, -61, etc.
Mistake 3
Including the Fraction
Sometimes people might add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1793/1.5 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 1793 are prime numbers.
For example, 29 and 61 are the prime factors of 1793, but it has other factors like 1 and 1793.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1793 as 29 × 61 and missing all the key factors.
Factors of 1793 Examples
Problem 1
There are 29 teams and 1793 candies. How will they divide them equally?
They will get 61 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1793/29 = 61
Problem 2
A large hall has an area of 1793 square meters and a length of 61 meters. Find the width.
29 meters.
Explanation
To find the width of the hall, we use the formula,
Area = length × width
1793 = 61 × width
To find the value of width, we need to shift 61 to the left side.
1793/61 = width
Width = 29.
Problem 3
There are 61 buses and 1793 passengers. How many passengers will be in each bus?
Each bus will have 29 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the number of buses.
1793/61 = 29
Problem 4
In a tournament, there are 1793 participants, and 29 groups. How many participants are in each group?
There are 61 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1793/29 = 61
Problem 5
1793 chairs need to be arranged in 29 sections. How many chairs will go in each section?
Each section has 61 chairs.
Explanation
Divide the total chairs by the sections.
1793/29 = 61
FAQs on Factors of 1793
1.What are the factors of 1793?
2.Mention the prime factors of 1793.
3.Is 1793 a multiple of 29?
4.Mention the factor pairs of 1793?
5.What is the square of 1793?
6.How can children in United States use numbers in everyday life to understand Factors of 1793?
7.What are some fun ways kids in United States can practice Factors of 1793 with numbers?
8.What role do numbers and Factors of 1793 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1793 skills?
Important Glossaries for Factor of 1793
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1793 are 1, 29, 61, and 1793.
- Prime factors: The factors which are prime numbers. For example, 29 and 61 are prime factors of 1793.
- 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 1793 are (1, 1793) and (29, 61).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1793 is 29 × 61.
- Negative factors: These are the negative counterparts of positive factors. For example, the negative factors of 1793 are -1, -29, -61, and -1793.
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About BrightChamps in United States
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.
