229 LearnersLast updated on May 26th, 2025
Factors of 363
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 363 is an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 363?
Factors are whole numbers that, when multiplied, the product is equal to 363.
363 is not a prime number, its factors are 1,3,11,33,121,363. For every factor, there is a corresponding negative factor, for 363, the negative factors -1,-3,-11,-33,-121,-363.
How to find the factors of 363?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication
Step 1: Find all pairs of numbers whose product is 363.
Step 2: All the pairs found represent the factors of 363.
363 is not a prime number. The pair of numbers whose product is 363 is;
1×363=363
3×121 = 363
11×33 = 363
The factors of 363 are 1,3,11,33,121,363.
Finding Factors by Division Method
Step 1: Start by dividing 363 with the smallest number, and check the remainders.
Step 2: 363 is not prime, therefore the divisors it has are 1,3,11,33,121,363. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 363 are 1,3,11,33,121,363.
Prime factors and prime factorization
— 363 is not a prime number.
— The prime factorization of 363 is 11×11×3.
— Factors of 363 are 1,3,11,33,121,363.
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 363, branch will be extended as the number is prime factorized as 11×33 → 3×11. 11 is a prime number and cannot be factored further.
Common mistakes and how to avoid them in factors of 363
We all make mistakes when it comes to finding factors, especially when it comes to numbers like 363. Don’t worry, it is a part of learning. Here are a few common slip-ups we may make, along with tips to avoid them.
Mistake 1
Excluding negative factors
Every positive factor has a corresponding negative factor. Often times, the negative factors are not included.
Factors of 363 Examples
Problem 1
List all the factor pairs of 363.
Find the factors of 363: 1,3,11,33,121,363.
Pair these factors to multiply and reach 363:
1×363=363
3×121=363
11×33=363
Factor pairs of 363 are: (1,363),(3,121),(11,33)
Explanation
Factor pairs are two numbers that multiply to give the original number. Listing factors and pairing them shows us that (1,363),(3,121),(11,33)(1, 363), (3, 121), (11, 33)(1,363),(3,121),(11,33) are the pairs for 363.
Problem 2
What are the common factors of 363 and 99?
Factors of 363: 1,3,11,33,121,363
Factors of 99: 1,3,9,11,33,99
Common factors are 1,3,11
Explanation
To find common factors, we list the factors of each number and identify any numbers they share. Here, 363 and 99 have four common factors: 1, 3, 11, and 33.
Problem 3
If 3 and 11 are factors of 363, what missing factor can you multiply with 3 and 11 to get 363?
To find the missing factor for 3: 363÷3=121. So, the missing factor for 3 is 121.
To find the missing factor for 11: 363÷11=33. So, the missing factor for 11 is 33.
Explanation
This problem requires us to find other factors by dividing 363 by a known factor. Dividing 363 by 3 and 11, we get the missing factors as 121 and 33, respectively.
FAQs on Factors of 363
1. Is the cube root of 363 rational?
2.What is the square root of 363?
3.. Is 363 odd or even?
4.Is 0 a whole number?
5.Is 7 a factor of 343?
6.How can children in Qatar use numbers in everyday life to understand Factors of 363?
7.What are some fun ways kids in Qatar can practice Factors of 363 with numbers?
8.What role do numbers and Factors of 363 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 363 skills?
Important Glossaries for Factors of 363
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
Explore More numbers
Previous to Factors of 363
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.
