120 LearnersLast updated on May 26th, 2025
Factors of 1947
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 1947, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1947?
The numbers that divide 1947 evenly are known as factors of 1947.
A factor of 1947 is a number that divides the number without remainder.
The factors of 1947 are 1, 3, 11, 33, 59, 177, 649, and 1947.
Negative factors of 1947: -1, -3, -11, -33, -59, -177, -649, and -1947.
Prime factors of 1947: 3, 11, and 59.
Prime factorization of 1947: 3 × 11 × 59.
The sum of factors of 1947: 1 + 3 + 11 + 33 + 59 + 177 + 649 + 1947 = 2880
How to Find Factors of 1947?
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 1947. Identifying the numbers which are multiplied to get the number 1947 is the multiplication method.
Step 1: Multiply 1947 by 1, 1947 × 1 = 1947.
Step 2: Check for other numbers that give 1947 after multiplying
3 × 649 = 1947
11 × 177 = 1947
33 × 59 = 1947
Therefore, the positive factor pairs of 1947 are: (1, 1947), (3, 649), (11, 177), (33, 59).
All these factor pairs result in 1947.
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 a whole number as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1947 by 1, 1947 ÷ 1 = 1947.
Step 2: Continue dividing 1947 by the numbers until the remainder becomes 0.
1947 ÷ 1 = 1947
1947 ÷ 3 = 649
1947 ÷ 11 = 177
1947 ÷ 33 = 59
Therefore, the factors of 1947 are: 1, 3, 11, 33, 59, 177, 649, 1947.
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 1947 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1947 ÷ 3 = 649
649 ÷ 11 = 59
59 ÷ 59 = 1
The prime factors of 1947 are 3, 11, and 59.
The prime factorization of 1947 is: 3 × 11 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1947 is divided by 3 to get 649.
Step 2: Now divide 649 by 11 to get 59. Step 3: Here, 59 is a prime number, that cannot be divided anymore. So, the prime factorization of 1947 is: 3 × 11 × 59.
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 1947: (1, 1947), (3, 649), (11, 177), and (33, 59).
Negative factor pairs of 1947: (-1, -1947), (-3, -649), (-11, -177), and (-33, -59).
Common Mistakes and How to Avoid Them in Factors of 1947
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 1947, 1 and 1947 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 1947 consist of -1, -3, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1947/1.5 = 1298, which 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 1947 are prime numbers.
For example, 3, 11, and 59 are the prime factors of 1947, but it has other factors like 33, 177.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1947 as 3 × 11 × 59 and missing all the key factors.
Factors of 1947 Examples
Problem 1
A car can travel 1947 kilometers on a full tank of fuel. If the car travels 3 kilometers per liter, how many liters of fuel does it use?
The car uses 649 liters of fuel.
Explanation
To find the fuel used, divide the total distance by the distance per liter.
1947/3 = 649
Problem 2
A rectangular garden has a length of 11 meters and a total area of 1947 square meters. What is the width of the garden?
177 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1947 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1947/11 = width
Width = 177.
Problem 3
There are 33 identical gift bags and 1947 candies. How many candies will be in each bag?
Each bag will have 59 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
1947/33 = 59
Problem 4
A large cake is cut into 1947 pieces and distributed equally among 59 people. How many pieces does each person get?
Each person gets 33 pieces.
Explanation
Dividing the cake pieces by the number of people, we will get the number of pieces each person receives.
1947/59 = 33
Problem 5
A library has 1947 books arranged equally on 3 shelves. How many books are there on each shelf?
Each shelf has 649 books.
Explanation
Divide the total books by the number of shelves.
1947/3 = 649
FAQs on Factors of 1947
1.What are the factors of 1947?
2.Mention the prime factors of 1947.
3.Is 1947 a multiple of 11?
4.Mention the factor pairs of 1947?
5.What is the square of 1947?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1947?
7.What are some fun ways kids in Indonesia can practice Factors of 1947 with numbers?
8.What role do numbers and Factors of 1947 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1947 skills?
Important Glossaries for Factor of 1947
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1947 are 1, 3, 11, 33, 59, 177, 649, and 1947.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 59 are prime factors of 1947.
- 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 1947 are (1, 1947), (3, 649), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1947 is 3 × 11 × 59.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 1947 include -1, -3, -11, etc.
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About BrightChamps in Indonesia
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.
