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 247, how they are used in real life, and the tips to learn them quickly.
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
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 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.
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.
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 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.
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).
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 247 apples and 13 baskets. How many apples will go in each basket if distributed equally?
Each basket will have 19 apples.
To divide the apples equally, we need to divide the total apples by the number of baskets.
247/13 = 19
A classroom has 247 chairs arranged in 13 rows. How many chairs are there in each row?
19 chairs.
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
A library has 247 books divided between 19 shelves. How many books are on each shelf?
Each shelf will have 13 books.
To find the books on each shelf, divide the total books by the number of shelves.
247/19 = 13
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.
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
A rectangular field has a length of 13 meters and a total area of 247 square meters. What is the width?
19 meters.
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.
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.