1. Steps to find factors of 2418 using Division Method

Example: Find factors of 2418

  • Divide 2418 by 1: 2418 ÷ 1 : Remainder = 0
  • Divide 2418 by 2: 2418 ÷ 2 : Remainder = 0
  • Divide 2418 by 3: 2418 ÷ 3 : Remainder = 0
  • Divide 2418 by 6: 2418 ÷ 6 : Remainder = 0
  • Divide 2418 by 13: 2418 ÷ 13 : Remainder = 0
  • Divide 2418 by 26: 2418 ÷ 26 : Remainder = 0
  • Divide 2418 by 31: 2418 ÷ 31 : Remainder = 0
  • Divide 2418 by 39: 2418 ÷ 39 : Remainder = 0
  • Divide 2418 by 62: 2418 ÷ 62 : Remainder = 0
  • Divide 2418 by 78: 2418 ÷ 78 : Remainder = 0
  • Divide 2418 by 93: 2418 ÷ 93 : Remainder = 0
  • Divide 2418 by 186: 2418 ÷ 186 : Remainder = 0
  • Divide 2418 by 403: 2418 ÷ 403 : Remainder = 0
  • Divide 2418 by 806: 2418 ÷ 806 : Remainder = 0
  • Divide 2418 by 1209: 2418 ÷ 1209 : Remainder = 0
  • Divide 2418 by 2418: 2418 ÷ 2418 : Remainder = 0

Hence, Factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, and 2418

2. Steps to find factors of 2418 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 2418 using the division method, follow these steps:

  • Step 1. Start dividing 2418 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 2418, which is 2. Divide 2418 by 2 to obtain the quotient (1209).
    2418 ÷ 2 = 1209
  • Step 3. Repeat step 1 with the obtained quotient (1209).
    1209 ÷ 3 = 403
    403 ÷ 13 = 31
    31 ÷ 31 = 1

So, the prime factorization of 2418 is, 2418 = 2 x 3 x 13 x 31.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2418 as shown below:

So, the prime factorization of 2418 is, 2418 = 2 x 3 x 13 x 31.

3. Find factors of 2418 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 2418 would be the two numbers which, when multiplied, give 2418 as the result.

The following table represents the calculation of factors of 2418 in pairs:

Factor Pair Pair Factorization
1 and 2418 1 x 2418 = 2418
2 and 1209 2 x 1209 = 2418
3 and 806 3 x 806 = 2418
6 and 403 6 x 403 = 2418
13 and 186 13 x 186 = 2418
26 and 93 26 x 93 = 2418
31 and 78 31 x 78 = 2418
39 and 62 39 x 62 = 2418

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 2418. They are called negative pair factors.

Hence, the negative pairs of 2418 would be ( -1 , -2418 ) , ( -2 , -1209 ) , ( -3 , -806 ) , ( -6 , -403 ) , ( -13 , -186 ) , ( -26 , -93 ) , ( -31 , -78 ) and ( -39 , -62 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 2418 is a factor of itself.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418 are exact divisors of 2418.
  • 1 is a factor of every number. Eg. 1 is a factor of 2418.
  • Every number is a factor of zero (0), since 2418 x 0 = 0.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -2418 )?

    Factors of -2418 are -1, -2, -3, -6, -13, -26, -31, -39, -62, -78, -93, -186, -403, -806, -1209, -2418.

  • What is the sum of all factors of 2418?

    The sum of all factors of 2418 is 5376.

  • What is prime factorization of 2418?

    Prime factorization of 2418 is 2 x 3 x 13 x 31.

  • What are the pair factors of 2418?

    Pair factors of 2418 are (1,2418), (2,1209), (3,806), (6,403), (13,186), (26,93), (31,78), (39,62).

  • What are six multiples of 2418?

    First five multiples of 2418 are 4836, 7254, 9672, 12090, 14508, 16926.

  • Is 2418 a whole number?

    Yes 2418 is a whole number.

  • Which is the smallest prime factor of 2418?

    Smallest prime factor of 2418 is 2.

  • What are five multiples of 2418?

    First five multiples of 2418 are 4836, 7254, 9672, 12090, 14508.

  • Write all factors of 2418?

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

Examples of Factors

Joey wants to write all the prime factors of 2418 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2418 are 2, 3, 13, 31.
So in exponential form it can be written as 2 x 3 x 13 x 31.

How many factors are there for 2418?

Factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 2418. Can you predict the answer?

15 factor(s) of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209.

Sammy is puzzled while calculating the prime factors of 2418. Can you help him find them?

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

What is prime factorization of 2418?

Prime factorization of 2418 is 2 x 3 x 13 x 31 = 2 x 3 x 13 x 31.

Ariel has been assigned the task to find the product of all the prime factors of 2418. Can you help her?

Prime factors of 2418 are 2, 3, 13, 31.
Hence, the product of prime factors of 2418.

Can you help Rubel to find out the product of the even factors of 2418?

Factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418.
Even factors of 2418 are 2, 6, 26, 62, 78, 186, 806, 2418.
Hence, product of even factors of 2418 is; 2 x 6 x 26 x 62 x 78 x 186 x 806 x 2418 = 546946904514816.