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 763, how they are used in real life, and tips to learn them quickly.
The numbers that divide 763 evenly are known as factors of 763.
A factor of 763 is a number that divides the number without remainder.
The factors of 763 are 1 and 763.
Negative factors of 763: -1 and -763.
Prime factors of 763: 7 and 109.
Prime factorization of 763: 7 × 109.
The sum of factors of 763: 1 + 763 = 764
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 763. Identifying the numbers which are multiplied to get the number 763 is the multiplication method.
Step 1: Multiply 763 by 1, 763 × 1 = 763.
There are no other pairs of numbers to multiply to get 763 because it is a semiprime number.
Therefore, the positive factor pair of 763 is: (1, 763).
For every positive factor, there is a negative factor.
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 763 by 1, 763 ÷ 1 = 763.
Step 2: Continue dividing 763 by the numbers until the remainder becomes 0.
763 ÷ 1 = 763
763 ÷ 7 = 109
763 ÷ 109 = 7
Therefore, the factors of 763 are: 1, 7, 109, 763.
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 763 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
763 ÷ 7 = 109
109 ÷ 109 = 1
The prime factors of 763 are 7 and 109.
The prime factorization of 763 is: 7 × 109.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 763 is divided by 7 to get 109.
Step 2: Now divide 109 by 109 to get 1.
So, the prime factorization of 763 is: 7 × 109.
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 pair of 763: (1, 763).
Negative factor pair of 763: (-1, -763).
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 garden has 763 flowers, and there are 7 rows. How many flowers are there in each row?
There are 109 flowers in each row.
To divide the flowers equally, we need to divide the total flowers by the number of rows.
763/7 = 109
A rectangular plot has a length of 109 meters and a total area of 763 square meters. Find the width.
7 meters.
To find the width of the plot, we use the formula,
Area = length × width
763 = 109 × width
To find the value of width, we need to shift 109 to the left side.
763/109 = width
Width = 7.
There are 109 gift bags and 763 candies. How many candies will be in each bag?
Each bag will have 7 candies.
To find the candies in each bag, divide the total candies by the bags.
763/109 = 7
A classroom has 763 students, and there are 109 groups. How many students are there in each group?
There are 7 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
763/109 = 7
763 apples need to be packed into 7 crates. How many apples will go in each crate?
Each crate has 109 apples.
Divide total apples by crates.
763/7 = 109
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.