120 LearnersLast updated on May 26th, 2025
Factors of 247
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 247, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 247?
The numbers that divide 247 evenly are known as factors of 247.
A factor of 247 is a number that divides the number without remainder.
The factors of 247 are 1, 13, 19, and 247.
Negative factors of 247: -1, -13, -19, and -247.
Prime factors of 247: 13 and 19.
Prime factorization of 247: 13 × 19.
The sum of factors of 247: 1 + 13 + 19 + 247 = 280
How to Find Factors of 247?
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 247. Identifying the numbers which are multiplied to get the number 247 is the multiplication method.
Step 1: Consider the multiplication of 1 and 247, 1 × 247 = 247.
Step 2: Check for other numbers that give 247 when multiplied 13 × 19 = 247
Therefore, the positive factor pairs of 247 are: (1, 247) and (13, 19).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 the simple division method:
Step 1: Divide 247 by 1, 247 ÷ 1 = 247.
Step 2: Continue dividing 247 by the numbers until the remainder becomes 0.
247 ÷ 1 = 247
247 ÷ 13 = 19
247 ÷ 19 = 13
Therefore, the factors of 247 are: 1, 13, 19, and 247.
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 247 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
247 ÷ 13 = 19
19 ÷ 19 = 1
The prime factors of 247 are 13 and 19.
The prime factorization of 247 is: 13 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, divide 247 by 13 to get 19.
Step 2: 19 is a prime number and cannot be divided anymore.
So, the prime factorization of 247 is: 13 × 19.
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 247: (1, 247) and (13, 19).
Negative factor pairs of 247: (-1, -247) and (-13, -19).
Common Mistakes and How to Avoid Them in Factors of 247
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 factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 247, 1 and 247 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 247 consist of -1, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 247/1.5 = 164.666…, 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 247 are prime numbers. For example, 13 and 19 are the prime factors of 247, but it also has other factors like 1 and 247.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 247 as 13 × 19 and missing key factors.
Factors of 247 Examples
Problem 1
There are 247 apples and 13 baskets. How many apples will go in each basket if distributed equally?
Each basket will have 19 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
247/13 = 19
Problem 2
A classroom has 247 chairs arranged in 13 rows. How many chairs are there in each row?
19 chairs.
Explanation
To find the number of chairs in each row, we use the formula,
Total chairs = rows × chairs per row
247 = 13 × chairs per row
To find the number of chairs per row, divide the total chairs by the number of rows.
247/13 = 19
Problem 3
A library has 247 books divided between 19 shelves. How many books are on each shelf?
Each shelf will have 13 books.
Explanation
To find the books on each shelf, divide the total books by the number of shelves.
247/19 = 13
Problem 4
In a garden, there are 247 flowers and 1 gardener. How many flowers does the gardener have to manage?
The gardener has to manage 247 flowers.
Explanation
Since there is only one gardener, the total number of flowers the gardener manages is the same as the total number of flowers.
247/1 = 247
Problem 5
A rectangular field has a length of 13 meters and a total area of 247 square meters. What is the width?
19 meters.
Explanation
To find the width of the field, use the formula, Area = length × width
247 = 13 × width
To find the value of width, divide the total area by the length.
247/13 = width
Width = 19.
FAQs on Factors of 247
1.What are the factors of 247?
2.Mention the prime factors of 247.
3.Is 247 a multiple of 13?
4.Mention the factor pairs of 247?
5.What is the square of 247?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 247?
7.What are some fun ways kids in Bahrain can practice Factors of 247 with numbers?
8.What role do numbers and Factors of 247 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 247 skills?
Important Glossaries for Factors of 247
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 247 are 1, 13, 19, and 247.
- Prime factors: The factors which are prime numbers. For example, 13 and 19 are prime factors of 247.
- 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 247 are (1, 247) and (13, 19).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 247 is 13 × 19.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 247 is a multiple of 13.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 247
About BrightChamps in Bahrain
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.
