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180 LearnersLast updated on December 9th, 2024
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
Factors of 363 Examples
Problem 1
List all the factor pairs of 363.
Explanation
Problem 2
What are the common factors of 363 and 99?
Explanation
Problem 3
If 3 and 11 are factors of 363, what missing factor can you multiply with 3 and 11 to get 363?
Explanation
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?
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.
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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.
