Last updated on June 4th, 2025
Factors are the numbers that divide any given number evenly without a 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 721, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 721 evenly are known as factors of 721.
A factor of 721 is a number that divides the number without remainder.
The factors of 721 are 1, 7, 103, and 721.
Negative factors of 721: -1, -7, -103, and -721.
Prime factors of 721: 7 and 103.
Prime factorization of 721: 7 × 103.
The sum of factors of 721: 1 + 7 + 103 + 721 = 832
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 721. Identifying the numbers which are multiplied to get the number 721 is the multiplication method.
Step 1: Multiply 721 by 1, 721 × 1 = 721.
Step 2: Check for other numbers that give 721 after multiplying 7 × 103 = 721
Therefore, the positive factor pairs of 721 are: (1, 721) and (7, 103).
All these factor pairs result in 721.
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 721 by 1, 721 ÷ 1 = 721.
Step 2: Continue dividing 721 by the numbers until the remainder becomes 0. 721 ÷ 1 = 721 721 ÷ 7 = 103 721 ÷ 103 = 7
Therefore, the factors of 721 are: 1, 7, 103, 721.
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 721 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
721 ÷ 7 = 103
103 ÷ 103 = 1
The prime factors of 721 are 7 and 103. The prime factorization of 721 is: 7 × 103.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 721 is divided by 7 to get 103.
Step 2: Now divide 103 by 103 to get 1. Here, 103 is a prime number, so it cannot be divided further. So, the prime factorization of 721 is: 7 × 103.
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 721: (1, 721) and (7, 103).
Negative factor pairs of 721: (-1, -721) and (-7, -103).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 7 teams and 721 tasks. How will they divide the tasks equally?
They will get 103 tasks each.
To divide the tasks equally, we need to divide the total tasks by the number of teams.
721/7 = 103
A garden is rectangular, the length of the garden is 103 meters and the total area is 721 square meters. Find the width.
7 meters.
To find the width of the garden, we use the formula,
Area = length × width
721 = 103 × width
To find the value of width, we need to shift 103 to the left side.
721/103 = width
Width = 7.
There are 721 apples and 103 baskets. How many apples will be in each basket?
Each basket will have 7 apples.
To find the apples in each basket, divide the total apples by the baskets.
721/103 = 7
In a class, there are 721 students, and 7 groups. How many students are there in each group?
There are 103 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
721/7 = 103
721 pages need to be arranged in 7 folders. How many pages will go in each folder?
Each of the folders has 103 pages.
Divide total pages by folders.
721/7 = 103
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.