119 LearnersLast updated on May 26th, 2025
Factors of 1647
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 1647, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1647?
The numbers that divide 1647 evenly are known as factors of 1647. A factor of 1647 is a number that divides the number without remainder. The factors of 1647 are 1, 3, 7, 21, 23, 69, 161, 483, 549, and 1647. Negative factors of 1647: -1, -3, -7, -21, -23, -69, -161, -483, -549, and -1647. Prime factors of 1647: 3, 7, and 23. Prime factorization of 1647: 3 × 7 × 23. The sum of factors of 1647: 1 + 3 + 7 + 21 + 23 + 69 + 161 + 483 + 549 + 1647 = 2964
How to Find Factors of 1647?
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using the 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 1647. Identifying the numbers which are multiplied to get the number 1647 is the multiplication method. Step 1: Multiply 1647 by 1, 1647 × 1 = 1647. Step 2: Check for other numbers that give 1647 after multiplying 3 × 549 = 1647 7 × 237 = 1647 21 × 78 = 1647 23 × 69 = 1647 Therefore, the positive factor pairs of 1647 are: (1, 1647), (3, 549), (7, 237), (21, 78), and (23, 69). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1647 by 1, 1647 ÷ 1 = 1647. Step 2: Continue dividing 1647 by the numbers until the remainder becomes 0. 1647 ÷ 1 = 1647 1647 ÷ 3 = 549 1647 ÷ 7 = 237 1647 ÷ 21 = 78 1647 ÷ 23 = 69 Therefore, the factors of 1647 are: 1, 3, 7, 21, 23, 69, 161, 483, 549, and 1647.
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 1647 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1647 ÷ 3 = 549 549 ÷ 3 = 183 183 ÷ 3 = 61 61 ÷ 7 = 7 7 ÷ 7 = 1 The prime factors of 1647 are 3, 7, and 23. The prime factorization of 1647 is: 3 × 7 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 1647 is divided by 3 to get 549. Step 2: Now divide 549 by 3 to get 183. Step 3: Then divide 183 by 3 to get 61. Step 4: Divide 61 by 7 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1647 is: 3 × 7 × 23. 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 1647: (1, 1647), (3, 549), (7, 237), (21, 78), and (23, 69). Negative factor pairs of 1647: (-1, -1647), (-3, -549), (-7, -237), (-21, -78), and (-23, -69).
Common Mistakes and How to Avoid Them in Factors of 1647
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 1647, 1 and 1647 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 1647 consist of -1, -3, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 1647/1.5 does not result in 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 1647 are prime numbers. For example, 3, 7, and 23 are the prime factors of 1647, but it has other factors like 21, 69.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors. For example, not breaking 1647 as 3 × 7 × 23 and missing all the key factors.
Factors of 1647 Examples
Problem 1
There are 3 teams and 1647 stickers. How will they divide it equally?
They will get 549 stickers each.
Explanation
To divide the stickers equally, we need to divide the total stickers with the number of teams. 1647/3 = 549
Problem 2
A warehouse has a rectangular floor, the length of the floor is 21 meters and the total area is 1647 square meters. Find the width.
78 meters.
Explanation
To find the width of the floor, we use the formula, Area = length × width 1647 = 21 × width To find the value of the width, we need to shift 21 to the left side. 1647/21 = width Width = 78.
Problem 3
There are 23 boxes and 1647 marbles. How many marbles will be in each box?
Each box will have 69 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes. 1647/23 = 69
Problem 4
In a class, there are 1647 students, and 7 groups. How many students are there in each group?
There are 237 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group. 1647/7 = 237
Problem 5
1647 books need to be arranged in 21 shelves. How many books will go on each shelf?
Each of the shelves has 78 books.
Explanation
Divide total books with shelves. 1647/21 = 78
FAQs on Factors of 1647
1.What are the factors of 1647?
2.Mention the prime factors of 1647.
3.Is 1647 a multiple of 7?
4.Mention the factor pairs of 1647?
5.What is the square of 1647?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1647?
7.What are some fun ways kids in Bahrain can practice Factors of 1647 with numbers?
8.What role do numbers and Factors of 1647 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1647 skills?
Important Glossaries for Factor of 1647
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1647 are 1, 3, 7, 21, 23, 69, 161, 483, 549, and 1647. Prime factors: The factors which are prime numbers. For example, 3, 7, and 23 are prime factors of 1647. 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 1647 are (1, 1647), (3, 549), etc. Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1647 is 3 × 7 × 23. Multiple: A number that can be divided by another number without a remainder. For example, 1647 is a multiple of 7.
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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.
