Last updated on May 29th, 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 1201, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1201 evenly are known as factors of 1201.
A factor of 1201 is a number that divides the number without a remainder.
Since 1201 is a prime number, its only factors are 1 and 1201.
Negative factors of 1201: -1 and -1201.
Prime factors of 1201: 1201 itself, as it is a prime number.
Prime factorization of 1201: 1201.
The sum of factors of 1201: 1 + 1201 = 1202
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 1201.
Since 1201 is a prime number, the multiplication method confirms that it only has the factor pair of (1, 1201).
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1201 by 1, 1201 ÷ 1 = 1201.
Step 2: Continue dividing 1201 by numbers up to the square root of 1201 (~34.65).
If any division results in a whole number, that number is a factor.
Since 1201 is prime, the only divisor is 1201 itself.
Therefore, the factors of 1201 are: 1 and 1201.
The factors can be found by dividing with prime numbers.
Since 1201 is itself a prime number, it cannot be broken down further into other prime factors beyond 1201.
The factor tree is the graphical representation of breaking down any number into prime factors. For 1201, it is simple because:
Step 1: 1201 is a prime number and cannot be divided further except by 1 and 1201 itself.
So, the prime factorization of 1201 is: 1201.
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
A company has 1201 employees and wants to organize them into 1 team. How many people will be in the team?
All 1201 employees will be in the one team.
To organize the employees into one team, all employees are included.
1201/1 = 1201
A city has 1201 streetlights. Each streetlight needs to be checked once. How many streetlights will be checked in total?
All 1201 streetlights will be checked.
To check each streetlight, you will check all streetlights.
1201/1 = 1201
There are 1201 seats in a stadium and each seat is to be filled. How many attendees will be needed to fill all seats?
1201 attendees will be needed to fill all seats.
To fill all seats, the number of attendees should match the number of seats.
1201/1 = 1201
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.