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 1047, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1047 evenly are known as factors of 1047.
A factor of 1047 is a number that divides the number without remainder.
The factors of 1047 are 1, 3, 349, and 1047.
Negative factors of 1047: -1, -3, -349, and -1047.
Prime factors of 1047: 3 and 349.
Prime factorization of 1047: 3 × 349.
The sum of factors of 1047: 1 + 3 + 349 + 1047 = 1400
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 1047. Identifying the numbers which are multiplied to get the number 1047 is the multiplication method.
Step 1: Multiply 1047 by 1, 1047 × 1 = 1047
Step 2: Check for other numbers that give 1047 after multiplying
3 × 349 = 1047
Therefore, the positive factor pairs of 1047 are: (1, 1047) and (3, 349).
All these factor pairs result in 1047. 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 a simple division method -
Step 1: Divide 1047 by 1, 1047 ÷ 1 = 1047.
Step 2: Continue dividing 1047 by the numbers until the remainder becomes 0.
1047 ÷ 1 = 1047
1047 ÷ 3 = 349
Therefore, the factors of 1047 are: 1, 3, 349, and 1047.
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 1047 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1047 ÷ 3 = 349
349 ÷ 349 = 1
The prime factors of 1047 are 3 and 349.
The prime factorization of 1047 is: 3 × 349.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1047 is divided by 3 to get 349.
Step 2: Now divide 349 by 349 to get 1. Here, 349 is a prime number and cannot be divided further.
So, the prime factorization of 1047 is: 3 × 349.
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 1047: (1, 1047) and (3, 349).
Negative factor pairs of 1047: (-1, -1047) and (-3, -349).
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 3 groups and 1047 candies. How will they divide it equally?
They will get 349 candies each.
To divide the candies equally, we need to divide the total candies with the number of groups.
1047/3 = 349
A painting is rectangular, with a length of 349 cm, and the total area is 1047 square cm. Find the width?
3 cm.
To find the width of the painting, we use the formula,
Area = length × width
1047 = 349 × width
To find the value of width, we need to shift 349 to the left side.
1047/349 = width
Width = 3.
There are 1047 pages in a book and 349 chapters. How many pages will be in each chapter?
Each chapter will have 3 pages.
To find the pages in each chapter, divide the total pages with the chapters.
1047/349 = 3
In a library, there are 1047 books, and they need to be arranged in 3 shelves. How many books are there on each shelf?
There are 349 books on each shelf.
Dividing the books with the total shelves, we will get the number of books on each shelf.
1047/3 = 349
1047 apples need to be packed into 349 boxes. How many apples will go in each box?
Each box will have 3 apples.
Divide total apples with boxes.
1047/349 = 3
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.