131 LearnersLast updated on May 29th, 2025
Factors of 1201
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.
What are the Factors of 1201?
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
How to Find Factors of 1201?
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 1201.
Since 1201 is a prime number, the multiplication method confirms that it only has the factor pair of (1, 1201).
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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.
Factor Tree
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.
Common Mistakes and How to Avoid Them in Factors of 1201
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1201, 1 and 1201 are both 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 1201 include -1 and -1201.
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 is incorrect because 1201/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes.
For example, recognizing that 1201 is a prime number helps to quickly identify its factors as 1 and 1201.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For 1201, recognizing that it cannot be broken down further as it is a prime number is crucial.
Factors of 1201 Examples
Problem 1
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.
Explanation
To organize the employees into one team, all employees are included.
1201/1 = 1201
Problem 2
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.
Explanation
To check each streetlight, you will check all streetlights.
1201/1 = 1201
Problem 3
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.
Explanation
To fill all seats, the number of attendees should match the number of seats.
1201/1 = 1201
FAQs on Factors of 1201
1.What are the factors of 1201?
2.Mention the prime factors of 1201.
3.Is 1201 a prime number?
4.What is the sum of the factors of 1201?
5.Can 1201 be divided evenly by any number other than 1 and itself?
6.How can children in United States use numbers in everyday life to understand Factors of 1201?
7.What are some fun ways kids in United States can practice Factors of 1201 with numbers?
8.What role do numbers and Factors of 1201 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1201 skills?
Important Glossaries for Factors of 1201
- Factors: Numbers that divide the given number without leaving a remainder. For example, the factors of 1201 are 1 and 1201.
- Prime Factors: Factors that are prime numbers. For example, 1201 is a prime factor of itself.
- Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 1201 is a prime number.
- Sum of Factors: The total when all factors are added together. For example, the sum of factors of 1201 is 1202.
- Factor Pair: A pair of numbers that, when multiplied, result in the original number. For 1201, the factor pair is (1, 1201).
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About BrightChamps in United States
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.
