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Factors of 2418

Factors of 2418 are the list of integers that we can split evenly into 2418. There are overall 16 factors of 2418 among which 2418 is the biggest factor and its prime factors are 2, 3, 13, 31. The Prime Factorization of 2418 is 21 × 31 × 131 × 311.

  • All Factors of 2418: 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209 and 2418
  • Prime Factors of 2418: 2, 3, 13, 31
  • Prime Factorization of 2418: 21 × 31 × 131 × 311
  • Sum of Factors of 2418: 5376
1. What Are the Factors of 2418?
2. Factors of 2418 by Prime Factorization
3. Factors of 2418 in Pairs
4. FAQs on Factors of 2418
Factors of 2418

What are Factors of 2418?

Factors of 2418 are pairs of those numbers whose products result in 2418. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2418?

To find the factors of 2418, we will have to find the list of numbers that would divide 2418 without leaving any remainder.

  • 2418/186 = 13; therefore, 186 is a factor of 2418 and 13 is also a factor of 2418.
  • 2418/806 = 3; therefore, 806 is a factor of 2418 and 3 is also a factor of 2418.
Similarly we can find other factors. Hence, the factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418.

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Factors of 2418 by Prime Factorization

The number 2418 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2418. The first step is to divide the number 2418 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 2418 ÷ 2 = 1209

Further dividing 1209 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1209 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 2418 can be written as 21 × 31 × 131 × 311 where 2, 3, 13, 31 are prime.

 

Factors of 2418 in Pairs

Pair factors of 2418 are the pairs of numbers that when multiplied give the product 2418. The factors of 2418 in pairs are:

  • 1 × 2418 = (1, 2418)
  • 2 × 1209 = (2, 1209)
  • 3 × 806 = (3, 806)
  • 6 × 403 = (6, 403)
  • 13 × 186 = (13, 186)
  • 26 × 93 = (26, 93)
  • 31 × 78 = (31, 78)
  • 39 × 62 = (39, 62)

Negative pair factors of 2418 are:

  • -1 × -2418 = (-1, -2418)
  • -2 × -1209 = (-2, -1209)
  • -3 × -806 = (-3, -806)
  • -6 × -403 = (-6, -403)
  • -13 × -186 = (-13, -186)
  • -26 × -93 = (-26, -93)
  • -31 × -78 = (-31, -78)
  • -39 × -62 = (-39, -62)

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

Factors of 2418 Solved Examples

  1. Example 1: How many factors are there for 2418?

    Solution:

    The factors of 2418 are too many, therefore if we can find the prime factorization of 2418, 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 2418 = 21 × 31 × 131 × 311
    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 Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 2418 and 1733.

    Solution:

    The factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418 and factors of 1733 are 1, 1733.

    Therefore, the Lowest Common Multiple (LCM) of 2418 and 1733 is 4190394 and Highest Common Factor (HCF) of 2418 and 1733 is 1.

  3. Example 3: Find if 26, 31, 39, 62, 85, 93, 186 and 1209 are factors of 2418.

    Solution:

    When we divide 2418 by 85 it leaves a remainder. Therefore, the number 85 is not a factor of 2418. All numbers except 85 are factors of 2418.

  4. Example 4: Find the product of all the prime factors of 2418.

    Solution:

    Since, the prime factors of 2418 are 2, 3, 13, 31. Therefore, the product of prime factors = 2 × 3 × 13 × 31 = 2418.

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FAQs on Factors of 2418

What are the Factors of 2418?

The factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418 and its negative factors are -1, -2, -3, -6, -13, -26, -31, -39, -62, -78, -93, -186, -403, -806, -1209, -2418.

What is the Sum of the Factors of 2418?

Sum of all factors of 2418 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (131 + 1 - 1)/(13 - 1) × (311 + 1 - 1)/(31 - 1) = 5376

What are Prime Factors of 2418?

The prime factors of 2418 are 2, 3, 13, 31.

What is the Greatest Common Factor of 2418 and 492?

The factors of 2418 and 492 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418 and 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 respectively.

Common factors of 2418 and 492 are [1, 2, 3, 6].

Hence, the Greatest Common Factor (GCF) of 2418 and 492 is 6.

How Many Factors of 713 are also common to the Factors of 2418?

Since, the factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418 and the factors of 713 are 1, 23, 31, 713.
Hence, [1, 31] are the common factors of 2418 and 713.

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