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146 LearnersLast updated on December 9th, 2024
Factors of 330
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 330 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 330?
Factors are whole numbers that, when multiplied, the product is equal to 330.
330 is not a prime number, its factors are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330. For every factor, there is a corresponding negative factor, for 330, the negative factors -1, -2, -3, -5, -6, -10, -11, -15, -22, -30, -33, -55, -66, -110, -165 and -330.
How to find the factors of 330?
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 330.
Step 2: All the pairs found represent the factors of 330.
330 is not a prime number. The pair of numbers whose product is 330 is;
1×330=330
2×165 = 330
3×110 = 330
5×66=330
6×55=330
10×33=330
11×30=330
15×22=330
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330.
Finding Factors by Division Method
Step 1: Start by dividing 330 with the smallest number, and check the remainders.
Step 2: 330 is not prime, therefore the divisors it has are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330.
Prime factors and prime factorization
— 330 is not a prime number.
— The prime factorization of 330 is 2×3×5×11.
— Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330.
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 330, branch will be extended as the number is prime factorized as 2×165 → 3×55 → 5×11. 11 is a prime number and cannot be factored further.
Common mistakes and how to avoid them in factors of 330
Factors of 330 Examples
Problem 1
How many factors does 330 have?
Explanation
Problem 2
Find the sum of all the factors of 330.
Explanation
Problem 3
What are the common factors of 330 and 198?
Explanation
FAQs on Factors of 330
1.What is the number name for 330?
2.Is 0 a multiple of 330?
3.What are the factors of 333?
4.Is 330 divisible by 8?
5.Prime factorize 330.
Important Glossaries for Factors of 330
- 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.
