126 LearnersLast updated on May 26th, 2025
Factors of 1047
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.
What are the Factors of 1047?
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
How to Find Factors of 1047?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1047
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 1047, 1 and 1047 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 1047 consist of -1, -3, -349, 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 as a factor because 1047/1.5 = 698, 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 1047 are prime numbers. For example, 3 and 349 are the prime factors of 1047, but it has other factors like 1, 1047.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 1047 as 3 × 349 and missing all the key factors.
Factors of 1047 Examples
Problem 1
There are 3 groups and 1047 candies. How will they divide it equally?
They will get 349 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of groups.
1047/3 = 349
Problem 2
A painting is rectangular, with a length of 349 cm, and the total area is 1047 square cm. Find the width?
3 cm.
Explanation
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.
Problem 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.
Explanation
To find the pages in each chapter, divide the total pages with the chapters.
1047/349 = 3
Problem 4
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.
Explanation
Dividing the books with the total shelves, we will get the number of books on each shelf.
1047/3 = 349
Problem 5
1047 apples need to be packed into 349 boxes. How many apples will go in each box?
Each box will have 3 apples.
Explanation
Divide total apples with boxes.
1047/349 = 3
FAQs on Factors of 1047
1.What are the factors of 1047?
2.Mention the prime factors of 1047.
3.Is 1047 a multiple of 3?
4.Mention the factor pairs of 1047?
5.What is 1047 divided by 349?
Important Glossaries for Factors of 1047
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1047 are 1, 3, 349, and 1047.
- Prime factors: The factors which are prime numbers. For example, 3 and 349 are prime factors of 1047.
- 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 1047 are (1, 1047) and (3, 349).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1047 is 3 × 349.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 1047 are -1, -3, -349, and -1047.
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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
: She loves to read number jokes and games.
