145 LearnersLast updated on May 26th, 2025
Factors of 1763
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 1763, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1763?
The numbers that divide 1763 evenly are known as factors of 1763.
A factor of 1763 is a number that divides the number without remainder.
The factors of 1763 are 1, 19, 37, and 1763.
Negative factors of 1763: -1, -19, -37, and -1763.
Prime factors of 1763: 19 and 37.
Prime factorization of 1763: 19 × 37.
The sum of factors of 1763: 1 + 19 + 37 + 1763 = 1820
How to Find Factors of 1763?
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 1763. Identifying the numbers which are multiplied to get the number 1763 is the multiplication method.
Step 1: Multiply 1763 by 1, 1763 × 1 = 1763.
Step 2: Check for other numbers that give 1763 after multiplying 19 × 37 = 1763
Therefore, the positive factor pairs of 1763 are: (1, 1763) and (19, 37).
All these factor pairs result in 1763.
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 the simple division method
Step 1: Divide 1763 by 1, 1763 ÷ 1 = 1763.
Step 2: Continue dividing 1763 by the numbers until the remainder becomes 0.
1763 ÷ 1 = 1763
1763 ÷ 19 = 93
1763 ÷ 37 = 47
Therefore, the factors of 1763 are: 1, 19, 37, and 1763.
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 1763 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1763 ÷ 19 = 93
93 ÷ 37 = 1
The prime factors of 1763 are 19 and 37.
The prime factorization of 1763 is: 19 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1763 is divided by 19 to get 93.
Step 2: Now divide 93 by 37 to get 1. Here, 37 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1763 is: 19 × 37.
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 1763: (1, 1763) and (19, 37).
Negative factor pairs of 1763: (-1, -1763) and (-19, -37).
Common Mistakes and How to Avoid Them in Factors of 1763
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 1763, 1 and 1763 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 1763 consist of -1, -19, -37, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1763/1.5 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 1763 are prime numbers.
For example, 19 and 37 are the prime factors of 1763, but it has other factors like 1 and 1763.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1763 as 19 × 37 and missing the key factors.
Factors of 1763 Examples
Problem 1
A group of 19 friends plans to buy a concert ticket package for $1763. How much does each friend contribute?
Each friend contributes $93.
Explanation
To find individual contributions, divide the total cost by the number of friends.
1763/19 = 93
Problem 2
A rectangular garden has a length of 37 meters and an area of 1763 square meters. What is the width?
The width is 47 meters.
Explanation
To find the width of the garden, use the formula:
Area = length × width
1763 = 37 × width
To find the value of width, divide 1763 by 37.
1763/37 = width
Width = 47.
Problem 3
There are 1763 pages in a book, and it needs to be divided into sections with 37 pages each. How many sections will there be?
There will be 47 sections.
Explanation
To find the number of sections, divide the total pages by pages per section.
1763/37 = 47
Problem 4
A company has 1763 employees and plans to form teams with 19 members each. How many complete teams can they form?
They can form 93 complete teams.
Explanation
Dividing the employees by the number of members per team gives the number of teams.
1763/19 = 93
Problem 5
A photographer has 1763 shots to categorize and places 19 shots in each album. How many albums will they need?
They will need 93 albums.
Explanation
Divide the total shots by the number of shots per album.
1763/19 = 93
FAQs on Factors of 1763
1.What are the factors of 1763?
2.Mention the prime factors of 1763.
3.Is 1763 a multiple of 19?
4.Mention the factor pairs of 1763?
5.What is the square of 1763?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1763?
7.What are some fun ways kids in Bahrain can practice Factors of 1763 with numbers?
8.What role do numbers and Factors of 1763 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1763 skills?
Important Glossaries for Factor of 1763
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1763 are 1, 19, 37, and 1763.
- Prime factors: The factors which are prime numbers. For example, 19 and 37 are prime factors of 1763.
- 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 1763 are (1, 1763), and (19, 37).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1763 is 19 × 37.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using multiplication, find that 19 × 37 = 1763.
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About BrightChamps in Bahrain
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.
