120 LearnersLast updated on June 4th, 2025
Factors of 718
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 718, how they are used in real life, and tips to learn them quickly.
What are the Factors of 718?
The numbers that divide 718 evenly are known as factors of 718.
A factor of 718 is a number that divides the number without remainder.
The factors of 718 are 1, 2, 359, and 718.
Negative factors of 718: -1, -2, -359, and -718.
Prime factors of 718: 2 and 359.
Prime factorization of 718: 2 × 359.
The sum of factors of 718: 1 + 2 + 359 + 718 = 1080
How to Find Factors of 718?
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 718. Identifying the numbers which are multiplied to get the number 718 is the multiplication method.
Step 1: Multiply 718 by 1, 718 × 1 = 718.
Step 2: Check for other numbers that give 718 after multiplying 2 × 359 = 718
Therefore, the positive factor pairs of 718 are: (1, 718) and (2, 359).
All these factor pairs result in 718.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 simple division methods -
Step 1: Divide 718 by 1, 718 ÷ 1 = 718.
Step 2: Continue dividing 718 by the numbers until the remainder becomes 0.
718 ÷ 1 = 718
718 ÷ 2 = 359
Therefore, the factors of 718 are: 1, 2, 359, 718.
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 718 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 718 ÷ 2 = 359 359 is a prime number.
The prime factors of 718 are 2 and 359. The prime factorization of 718 is: 2 × 359.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 718 is divided by 2 to get 359. Here, 359 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 718 is: 2 × 359.
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 718: (1, 718) and (2, 359).
Negative factor pairs of 718: (-1, -718) and (-2, -359).
Common Mistakes and How to Avoid Them in Factors of 718
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 718, 1 and 718 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 718 consist of -1, -2, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 3.5 as a factor because 718/3.5 = 205.142857, and it 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 718 are prime numbers.
For example, 2 and 359 are the prime factors of 718, but it has other factors like 1, 718.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 718 as 2 × 359 and missing key factors.
Factors of 718 Examples
Problem 1
There are 718 marbles and 2 baskets. How will they distribute it equally?
Each basket will have 359 marbles.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of baskets.
718/2 = 359
Problem 2
A room is rectangular, the length of the room is 359 meters, and the total area is 718 square meters. Find the width?
2 meters.
Explanation
To find the width of the room, we use the formula,
Area = length × width 718 = 359 × width
To find the value of width, we need to shift 359 to the left side.
718/359 = width Width = 2.
Problem 3
There are 718 apples and 359 boxes. How many apples will be in each box?
Each box will have 2 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
718/359 = 2
Problem 4
In a class, there are 718 students, and 359 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
718/359 = 2
Problem 5
718 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 359 books.
Explanation
Divide total books by shelves.
718/2 = 359
FAQs on Factors of 718
1.What are the factors of 718?
2.Mention the prime factors of 718.
3.Is 718 a multiple of 2?
4.Mention the factor pairs of 718?
5.What is the square of 718?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 718?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 718 with numbers?
8.What role do numbers and Factors of 718 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 718 skills?
Important Glossaries for Factors of 718
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 718 are 1, 2, 359, and 718.
- Prime factors: The factors which are prime numbers. For example, 2 and 359 are prime factors of 718.
- 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 718 are (1, 718) and (2, 359).
- Prime factorization: The process of expressing a number as the product of its prime factors. For 718, it is 2 × 359.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 718 is a multiple of 2.
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About BrightChamps in Saudi Arabia
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.
