118 LearnersLast updated on June 4th, 2025
Factors of 717
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 717, how they are used in real life, and tips to learn them quickly.
What are the Factors of 717?
The numbers that divide 717 evenly are known as factors of 717.
A factor of 717 is a number that divides the number without a remainder.
The factors of 717 are 1, 3, 239, and 717.
Negative factors of 717: -1, -3, -239, and -717.
Prime factors of 717: 3 and 239.
Prime factorization of 717: 3 × 239.
The sum of factors of 717: 1 + 3 + 239 + 717 = 960
How to Find Factors of 717?
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 multiply to give 717. Identifying the numbers which are multiplied to get the number 717 is the multiplication method.
Step 1: Multiply 717 by 1, 717 × 1 = 717.
Step 2: Check for other numbers that give 717 after multiplying 3 × 239 = 717
Therefore, the positive factor pairs of 717 are: (1, 717), (3, 239).
All these factor pairs result in 717.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 717 by 1, 717 ÷ 1 = 717.
Step 2: Continue dividing 717 by the numbers until the remainder becomes 0. 717 ÷ 1 = 717 717 ÷ 3 = 239
Therefore, the factors of 717 are: 1, 3, 239, 717.
Prime Factors and Prime Factorization
The factors can be found by dividing by 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 717 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 717 ÷ 3 = 239 239 is a prime number.
The prime factors of 717 are 3 and 239. The prime factorization of 717 is: 3 × 239.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 717 is divided by 3 to get 239. Here, 239 is a prime number, that cannot be divided anymore.
So, the prime factorization of 717 is: 3 × 239.
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 717: (1, 717), (3, 239).
Negative factor pairs of 717: (-1, -717), (-3, -239).
Common Mistakes and How to Avoid Them in Factors of 717
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 717, 1 and 717 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 717 include -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor, because 717/1.5 = 478, 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 717 are prime numbers.
For example, 3 and 239 are the prime factors of 717, but it has other factors like 1 and 717.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 717 as 3 × 239 and missing key factors.
Factors of 717 Examples
Problem 1
There are 3 teams and 717 participants. How will they divide equally among the teams?
They will get 239 participants each.
Explanation
To divide participants equally, we need to divide the total participants by the number of teams.
717/3 = 239
Problem 2
A rectangular garden has a total area of 717 square meters and a width of 3 meters. Find the length.
239 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width 717 = length × 3
To find the value of the length, we need to shift 3 to the left side. 717/3 = length Length = 239.
Problem 3
There are 717 kg of grain and 239 bags. How many kg will be in each bag?
Each bag will have 3 kg of grain.
Explanation
To find the grain in each bag, divide the total grain by the number of bags. 717/239 = 3
Problem 4
In a class, there are 717 students, and they need to be divided into groups of 239. How many groups will there be?
There will be 3 groups.
Explanation
Dividing the students by the number of students per group, we will get the number of groups.
717/239 = 3
Problem 5
717 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each shelf will have 239 books.
Explanation
Divide the total number of books by the number of shelves.
717/3 = 239
FAQs on Factors of 717
1.What are the factors of 717?
2.Mention the prime factors of 717.
3.Is 717 a multiple of 3?
4.Mention the factor pairs of 717?
5.Is 717 divisible by 5?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 717?
7.What are some fun ways kids in Indonesia can practice Factors of 717 with numbers?
8.What role do numbers and Factors of 717 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 717 skills?
Important Glossaries for Factor of 717
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 717 are 1, 3, 239, and 717.
- Prime factors: The factors which are prime numbers. For example, 3 and 239 are prime factors of 717.
- 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 717 are (1, 717) and (3, 239).
- Prime factorization: Breaking down a number into its prime numbers. For example, the prime factorization of 717 is 3 × 239.
- Divisibility: The ability of one number to be divided by another without leaving a remainder. For example, 717 is divisible by 3.
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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
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