Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 23 teams and 1633 participants. How will they be divided equally?
Each team will have 71 participants.
To divide the participants equally, we need to divide the total participants by the number of teams.
1633/23 = 71
A project requires 1633 hours of work and 71 workers. How many hours will each worker need to contribute?
23 hours.
To find the hours each worker needs to contribute, divide the total hours by the number of workers.
1633/71 = 23
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.
To find the items in each box, divide the total items by the number of boxes.
1633/23 = 71
In a factory, there are 1633 machines and 71 shifts. How many machines are operated in each shift?
23 machines.
Dividing the machines by the total shifts, we will get the number of machines in each shift.
1633/71 = 23
1633 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 71 books.
Divide total books by shelves.
1633/23 = 71
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.
: She loves to read number jokes and games.