116 LearnersLast updated on May 26th, 2025
Factors of 16632
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 16632, how they are used in real life, and tips to learn them quickly.
What are the Factors of 16632?
The numbers that divide 16632 evenly are known as factors of 16632.
A factor of 16632 is a number that divides the number without remainder.
The factors of 16632 are 1, 2, 3, 4, 6, 8, 12, 24, 693, 1386, 2079, 2772, 4158, 5544, 8316, and 16632.
Negative factors of 16632: -1, -2, -3, -4, -6, -8, -12, -24, -693, -1386, -2079, -2772, -4158, -5544, -8316, and -16632.
Prime factors of 16632: 2, 3, and 11.
Prime factorization of 16632: 2³ × 3 × 11 × 139.
The sum of factors of 16632: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 693 + 1386 + 2079 + 2772 + 4158 + 5544 + 8316 + 16632 = 33240
How to Find Factors of 16632?
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 16632. Identifying the numbers which are multiplied to get the number 16632 is the multiplication method.
Step 1: Multiply 16632 by 1, 16632 × 1 = 16632.
Step 2: Check for other numbers that give 16632 after multiplying
2 × 8316 = 16632
3 × 5544 = 16632
4 × 4158 = 16632
6 × 2772 = 16632
8 × 2079 = 16632
12 × 1386 = 16632
24 × 693 = 16632
Therefore, the positive factor pairs of 16632 are: (1, 16632), (2, 8316), (3, 5544), (4, 4158), (6, 2772), (8, 2079), (12, 1386), (24, 693). All these factor pairs result in 16632. 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 16632 by 1, 16632 ÷ 1 = 16632.
Step 2: Continue dividing 16632 by the numbers until the remainder becomes 0.
16632 ÷ 1 = 16632
16632 ÷ 2 = 8316
16632 ÷ 3 = 5544
16632 ÷ 4 = 4158
16632 ÷ 6 = 2772
16632 ÷ 8 = 2079
16632 ÷ 12 = 1386
16632 ÷ 24 = 693
Therefore, the factors of 16632 are: 1, 2, 3, 4, 6, 8, 12, 24, 693, 1386, 2079, 2772, 4158, 5544, 8316, 16632.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 16632 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
16632 ÷ 2 = 8316
8316 ÷ 2 = 4158
4158 ÷ 2 = 2079
2079 ÷ 3 = 693
693 ÷ 3 = 231
231 ÷ 11 = 21
21 ÷ 3 = 7
The prime factors of 16632 are 2, 3, and 11.
The prime factorization of 16632 is: 2³ × 3 × 11 × 139.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 16632 is divided by 2 to get 8316.
Step 2: Now divide 8316 by 2 to get 4158.
Step 3: Then divide 4158 by 2 to get 2079.
Step 4: Divide 2079 by 3 to get 693. Step 5: Divide 693 by 3 to get 231.
Step 6: Divide 231 by 11 to get 21.
Step 7: Divide 21 by 3 to get 7. So, the prime factorization of 16632 is: 2³ × 3 × 11 × 139.
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 16632: (1, 16632), (2, 8316), (3, 5544), (4, 4158), (6, 2772), (8, 2079), (12, 1386), and (24, 693).
Negative factor pairs of 16632: (-1, -16632), (-2, -8316), (-3, -5544), (-4, -4158), (-6, -2772), (-8, -2079), (-12, -1386), and (-24, -693).
Common Mistakes and How to Avoid Them in Factors of 16632
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 16632, 1 and 16632 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 16632 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 16632/1.5 = 11088, 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 16632 are prime numbers.
For example, 2, 3, and 11 are the prime factors of 16632, but it has other factors like 4, 6, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 16632 as 2³ × 3 × 11 × 139 and missing all the key factors.
Factors of 16632 Examples
Problem 1
There are 6 teams and 16632 players. How many players will each team have?
Each team will have 2772 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
16632/6 = 2772
Problem 2
A rectangular garden has a length of 693 meters and a total area of 16632 square meters. Find the width.
24 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
16632 = 693 × width
To find the value of width, we need to divide 16632 by 693.
16632/693 = width
Width = 24.
Problem 3
There are 24 storage boxes and 16632 items. How many items will be in each box?
Each box will have 693 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
16632/24 = 693
Problem 4
In a stadium, there are 12 sections, and 16632 seats. How many seats are there in each section?
There are 1386 seats in each section.
Explanation
Dividing the seats with the total sections, we will get the number of seats in each section.
16632/12 = 1386
Problem 5
16632 books need to be arranged in 4 large bookshelves. How many books will go on each shelf?
Each of the shelves has 4158 books.
Explanation
Divide total books by the number of shelves.
16632/4 = 4158
FAQs on Factors of 16632
1.What are the factors of 16632?
2.Mention the prime factors of 16632.
3.Is 16632 a multiple of 3?
4.Mention the factor pairs of 16632?
5.What is the square of 16632?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 16632?
7.What are some fun ways kids in Vietnam can practice Factors of 16632 with numbers?
8.What role do numbers and Factors of 16632 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 16632 skills?
Important Glossaries for Factors of 16632
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 16632 are 1, 2, 3, 4, 6, 8, 12, 24, 693, 1386, 2079, 2772, 4158, 5544, 8316, and 16632.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 11, and 139 are prime factors of 16632.
- 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 16632 are (1, 16632), (2, 8316), etc.
- Prime factorization: It is the process of expressing a number as the product of its prime factors. For 16632, it is 2³ × 3 × 11 × 139.
- Division method: A method used to find the factors of a number by dividing it by integers until the remainder is zero.
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About BrightChamps in Vietnam
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.
