A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
LearnPracticeDownload

 

Factors of 330

Factors of 330 are numbers that, when multiplied in pairs give the product as 330. There are 16 factors of 330 of which 330 itself is the biggest factor and its prime factors are 2, 3, 5, 11 The sum of all factors of 330 is 864.

  • All Factors of 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330
  • Prime Factors of 330: 2, 3, 5, 11
  • Prime Factorization of 330: 21 × 31 × 51 × 111
  • Sum of Factors of 330: 864
1. What Are the Factors of 330?
2. Factors of 330 by Prime Factorization
3. Factors of 330 in Pairs
4. FAQs on Factors of 330
Factors of 330

What are Factors of 330?

Factors of 330 are pairs of those numbers whose products result in 330. These factors are either prime numbers or composite numbers.

How to Find the Factors of 330?

To find the factors of 330, we will have to find the list of numbers that would divide 330 without leaving any remainder.

  • 330/3 = 110; therefore, 3 is a factor of 330 and 110 is also a factor of 330.
  • 330/165 = 2; therefore, 165 is a factor of 330 and 2 is also a factor of 330.
Similarly we can find other factors. Hence, the factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330.

☛ Also Check:

Factors of 330 by Prime Factorization

The number 330 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 330. The first step is to divide the number 330 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 330 ÷ 2 = 165

Further dividing 165 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 165 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 330 can be written as 21 × 31 × 51 × 111 where 2, 3, 5, 11 are prime.

 

Factors of 330 in Pairs

Pair factors of 330 are the pairs of numbers that when multiplied give the product 330. The factors of 330 in pairs are:

  • 1 × 330 = (1, 330)
  • 2 × 165 = (2, 165)
  • 3 × 110 = (3, 110)
  • 5 × 66 = (5, 66)
  • 6 × 55 = (6, 55)
  • 10 × 33 = (10, 33)
  • 11 × 30 = (11, 30)
  • 15 × 22 = (15, 22)

Negative pair factors of 330 are:

  • -1 × -330 = (-1, -330)
  • -2 × -165 = (-2, -165)
  • -3 × -110 = (-3, -110)
  • -5 × -66 = (-5, -66)
  • -6 × -55 = (-6, -55)
  • -10 × -33 = (-10, -33)
  • -11 × -30 = (-11, -30)
  • -15 × -22 = (-15, -22)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 330 Solved Examples

  1. Example 1: How many factors are there for 330?

    Solution:

    The factors of 330 are too many, therefore if we can find the prime factorization of 330, then the total number of factors can be calculated using the formula shown below.
    If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

    Prime Factorization of 330 = 21 × 31 × 51 × 111
    Therefore, the total number of factors are (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 2 × 2 × 2 × 2 = 16

  2. Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 330 and 116.

    Solution:

    The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330 and factors of 116 are 1, 2, 4, 29, 58, 116.

    Therefore, the Least Common Multiple (LCM) of 330 and 116 is 19140 and Highest Common Factor (HCF) of 330 and 116 is 2.

  3. Example 3: Find if 1, 2, 3, 10, 11, 30, 241 and 330 are factors of 330.

    Solution:

    When we divide 330 by 241 it leaves a remainder. Therefore, the number 241 is not a factor of 330. All numbers except 241 are factors of 330.

  4. Example 4: Find the product of all the prime factors of 330.

    Solution:

    Since, the prime factors of 330 are 2, 3, 5, 11. Therefore, the product of prime factors = 2 × 3 × 5 × 11 = 330.

Show Solution >

go to slidego to slidego to slidego to slide

 

Ready to see the world through math’s eyes?
Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything. 

Book a Free Trial Class

 

FAQs on Factors of 330

What are the Factors of 330?

The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330 and its negative factors are -1, -2, -3, -5, -6, -10, -11, -15, -22, -30, -33, -55, -66, -110, -165, -330.

What is the Sum of all Factors of 330?

Sum of all factors of 330 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (111 + 1 - 1)/(11 - 1) = 864

What are Prime Factors of 330?

The prime factors of 330 are 2, 3, 5, 11.

What is the Greatest Common Factor of 330 and 259?

The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330 and the factors of 259 are 1, 7, 37, 259. 330 and 259 have only one common factor which is 1. This implies that 330 and 259 are co-prime.

Hence, the Greatest Common Factor (GCF) of 330 and 259 is 1.

How Many Factors of 330 are also Factors of 251?

Since, the factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330 and factors of 251 are 1, 251. Hence, 330 and 251 have only one common factor which is 1. Therefore, 330 and 251 are co-prime.

Math worksheets and
visual curriculum