122 LearnersLast updated on May 26th, 2025
Factors of 1633
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 1633, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1633?
The numbers that divide 1633 evenly are known as factors of 1633.
A factor of 1633 is a number that divides the number without remainder.
The factors of 1633 are 1, 23, 71, and 1633.
Negative factors of 1633: -1, -23, -71, and -1633.
Prime factors of 1633: 23 and 71.
Prime factorization of 1633: 23 × 71.
The sum of factors of 1633: 1 + 23 + 71 + 1633 = 1728
How to Find Factors of 1633?
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 1633. Identifying the numbers which are multiplied to get the number 1633 is the multiplication method.
Step 1: Multiply 1633 by 1, 1633 × 1 = 1633.
Step 2: Check for other numbers that give 1633 after multiplying 23 × 71 = 1633
Therefore, the positive factor pairs of 1633 are: (1, 1633) and (23, 71). All these factor pairs result in 1633. 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 1633 by 1, 1633 ÷ 1 = 1633.
Step 2: Continue dividing 1633 by the numbers until the remainder becomes 0.
1633 ÷ 1 = 1633
1633 ÷ 23 = 71
1633 ÷ 71 = 23
1633 ÷ 1633 = 1
Therefore, the factors of 1633 are: 1, 23, 71, 1633.
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 1633 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1633 ÷ 23 = 71
71 ÷ 71 = 1
The prime factors of 1633 are 23 and 71.
The prime factorization of 1633 is: 23 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1633 is divided by 23 to get 71.
Step 2: Now divide 71 by 71 to get 1. Here, 71 is a prime number, that cannot be divided anymore. So, the prime factorization of 1633 is: 23 × 71.
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 1633: (1, 1633), (23, 71).
Negative factor pairs of 1633: (-1, -1633), (-23, -71).
Common Mistakes and How to Avoid Them in Factors of 1633
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 1633, 1 and 1633 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 1633 include -1, -23, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1633/1.5 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 1633 are prime numbers. For example, 23 and 71 are the prime factors of 1633, but it has other factors like 1 and 1633.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1633 as 23 × 71 and missing all the key factors.
Factors of 1633 Examples
Problem 1
There are 23 teams and 1633 participants. How will they be divided equally?
Each team will have 71 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1633/23 = 71
Problem 2
A project requires 1633 hours of work and 71 workers. How many hours will each worker need to contribute?
23 hours.
Explanation
To find the hours each worker needs to contribute, divide the total hours by the number of workers.
1633/71 = 23
Problem 3
A batch of 1633 items needs to be packed into boxes of 23. How many items will each box contain?
Each box will have 71 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1633/23 = 71
Problem 4
In a factory, there are 1633 machines and 71 shifts. How many machines are operated in each shift?
23 machines.
Explanation
Dividing the machines by the total shifts, we will get the number of machines in each shift.
1633/71 = 23
Problem 5
1633 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 71 books.
Explanation
Divide total books by shelves.
1633/23 = 71
FAQs on Factors of 1633
1.What are the factors of 1633?
2.Mention the prime factors of 1633.
3.Is 1633 a multiple of 23?
4.Mention the factor pairs of 1633?
5.What is the square of 1633?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1633?
7.What are some fun ways kids in Qatar can practice Factors of 1633 with numbers?
8.What role do numbers and Factors of 1633 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1633 skills?
Important Glossaries for Factor of 1633
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1633 are 1, 23, 71, and 1633.
- Prime factors: The factors which are prime numbers. For example, 23 and 71 are prime factors of 1633.
- 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 1633 are (1, 1633) and (23, 71).
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to a given number, such as 23 × 71 = 1633.
- Division method: A process to find factors by dividing the number by integers until the remainder is zero, identifying numbers like 1, 23, 71, and 1633 as factors of 1633.
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About BrightChamps in Qatar
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.
