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 2178

Factors of 2178 are the list of integers that can be evenly divided into 2178. There are overall 18 factors of 2178, of which 2, 3, 11 are its prime factors. The sum of all factors of 2178 is 5187.

  • All Factors of 2178: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089 and 2178
  • Prime Factors of 2178: 2, 3, 11
  • Prime Factorization of 2178: 21 × 32 × 112
  • Sum of Factors of 2178: 5187
1. What Are the Factors of 2178?
2. Factors of 2178 by Prime Factorization
3. Factors of 2178 in Pairs
4. FAQs on Factors of 2178
Factors of 2178

What are Factors of 2178?

Factors of 2178 are pairs of those numbers whose products result in 2178. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2178?

To find the factors of 2178, we will have to find the list of numbers that would divide 2178 without leaving any remainder.

  • 2178/33 = 66; therefore, 33 is a factor of 2178 and 66 is also a factor of 2178.
  • 2178/22 = 99; therefore, 22 is a factor of 2178 and 99 is also a factor of 2178.
Similarly we can find other factors. Hence, the factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178.

☛ Also Check:

Factors of 2178 by Prime Factorization

The number 2178 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2178. The first step is to divide the number 2178 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 2178 ÷ 2 = 1089

Further dividing 1089 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1089 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 2178 can be written as 21 × 32 × 112 where 2, 3, 11 are prime.

 

Factors of 2178 in Pairs

Pair factors of 2178 are the pairs of numbers that when multiplied give the product 2178. The factors of 2178 in pairs are:

  • 1 × 2178 = (1, 2178)
  • 2 × 1089 = (2, 1089)
  • 3 × 726 = (3, 726)
  • 6 × 363 = (6, 363)
  • 9 × 242 = (9, 242)
  • 11 × 198 = (11, 198)
  • 18 × 121 = (18, 121)
  • 22 × 99 = (22, 99)
  • 33 × 66 = (33, 66)

Negative pair factors of 2178 are:

  • -1 × -2178 = (-1, -2178)
  • -2 × -1089 = (-2, -1089)
  • -3 × -726 = (-3, -726)
  • -6 × -363 = (-6, -363)
  • -9 × -242 = (-9, -242)
  • -11 × -198 = (-11, -198)
  • -18 × -121 = (-18, -121)
  • -22 × -99 = (-22, -99)
  • -33 × -66 = (-33, -66)

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

Factors of 2178 Solved Examples

  1. Example 1: How many factors are there for 2178?

    Solution:

    The factors of 2178 are too many, therefore if we can find the prime factorization of 2178, 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 2178 = 21 × 32 × 112
    Therefore, the total number of factors are (1 + 1) × (2 + 1) × (2 + 1) = 2 × 3 × 3 = 18

  2. Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 2178 and 1365.

    Solution:

    The factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178 and factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365.

    Therefore, the Least Common Multiple of 2178 and 1365 is 990990 and Greatest Common Factor (GCF) of 2178 and 1365 is 3.

  3. Example 3: Find if 2, 18, 22, 66, 363, 637, 726 and 2178 are factors of 2178.

    Solution:

    When we divide 2178 by 637 it leaves a remainder. Therefore, the number 637 is not a factor of 2178. All numbers except 637 are factors of 2178.

  4. Example 4: Find the product of all the prime factors of 2178.

    Solution:

    Since, the prime factors of 2178 are 2, 3, 11. Therefore, the product of prime factors = 2 × 3 × 11 = 66.

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 2178

What are the Factors of 2178?

The factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178 and its negative factors are -1, -2, -3, -6, -9, -11, -18, -22, -33, -66, -99, -121, -198, -242, -363, -726, -1089, -2178.

What is the Sum of Factors of 2178?

Sum of all factors of 2178 = (21 + 1 - 1)/(2 - 1) × (32 + 1 - 1)/(3 - 1) × (112 + 1 - 1)/(11 - 1) = 5187

What are Prime Factors of 2178?

The prime factors of 2178 are 2, 3, 11.

What is the Greatest Common Factor of 2178 and 1991?

The factors of 2178 and 1991 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178 and 1, 11, 181, 1991 respectively.

Common factors of 2178 and 1991 are [1, 11].

Hence, the Greatest Common Factor of 2178 and 1991 is 11.

What are the Common Factors of 2178 and 1416?

Since, the factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178 and the factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416.
Hence, [1, 2, 3, 6] are the common factors of 2178 and 1416.

Math worksheets and
visual curriculum