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 716, how they are used in real life, and tips to learn them quickly.
The numbers that divide 716 evenly are known as factors of 716.
A factor of 716 is a number that divides the number without remainder.
The factors of 716 are 1, 2, 4, 179, 358, and 716.
Negative factors of 716: -1, -2, -4, -179, -358, and -716.
Prime factors of 716: 2 and 179.
Prime factorization of 716: 2² × 179.
The sum of factors of 716: 1 + 2 + 4 + 179 + 358 + 716 = 1260
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 716. Identifying the numbers which are multiplied to get the number 716 is the multiplication method.
Step 1: Multiply 716 by 1, 716 × 1 = 716.
Step 2: Check for other numbers that give 716 after multiplying
2 × 358 = 716
4 × 179 = 716
Therefore, the positive factor pairs of 716 are: (1, 716), (2, 358), and (4, 179).
All these factor pairs result in 716.
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 a simple division method -
Step 1: Divide 716 by 1, 716 ÷ 1 = 716.
Step 2: Continue dividing 716 by the numbers until the remainder becomes 0.
716 ÷ 1 = 716
716 ÷ 2 = 358
716 ÷ 4 = 179
Therefore, the factors of 716 are: 1, 2, 4, 179, 358, and 716.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 716 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
716 ÷ 2 = 358
358 ÷ 2 = 179
179 ÷ 179 = 1
The prime factors of 716 are 2 and 179.
The prime factorization of 716 is: 2² × 179.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 716 is divided by 2 to get 358.
Step 2: Now divide 358 by 2 to get 179.
Step 3: Here, 179 is a prime number and cannot be divided anymore.
So, the prime factorization of 716 is: 2² × 179.
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 716: (1, 716), (2, 358), and (4, 179).
Negative factor pairs of 716: (-1, -716), (-2, -358), and (-4, -179).
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 4 groups and 716 apples. How will they divide it equally?
They will get 179 apples each.
To divide the apples equally, we need to divide the total apples with the number of groups.
716/4 = 179
A garden is rectangular, the length of the garden is 179 meters and the total area is 716 square meters. Find the width?
4 meters.
To find the width of the garden, we use the formula,
Area = length × width
716 = 179 × width
To find the value of width, we need to shift 179 to the left side.
716/179 = width
Width = 4.
There are 2 containers and 716 liters of water. How many liters will be in each container?
Each container will have 358 liters.
To find the liters in each container, divide the total liters with the containers.
716/2 = 358
In a class, there are 716 students, and 179 groups. How many students are there in each group?
There are 4 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
716/179 = 4
716 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each shelf has 358 books.
Divide total books with shelves.
716/2 = 358
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.