Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A group of 19 friends plans to buy a concert ticket package for $1763. How much does each friend contribute?
Each friend contributes $93.
To find individual contributions, divide the total cost by the number of friends.
1763/19 = 93
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.
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.
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.
To find the number of sections, divide the total pages by pages per section.
1763/37 = 47
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.
Dividing the employees by the number of members per team gives the number of teams.
1763/19 = 93
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.
Divide the total shots by the number of shots per album.
1763/19 = 93
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.
: She loves to read number jokes and games.