What Are The Factors Of 108: Prime Factors Of 108

Knowing the factors of 108 will help you solve many maths problems. What are the factors? They are just the specific digits that divide the number equally leaving no remainders. Let us not waste the time and jump to learn the numbers that are factors of 108.

What Are The Factors Of 108?

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108 are factors of 108. The factor numbers are those specific numbers that divide the given digit in such a way that there will be no remainder left.

So all factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108. Now 

  • 1(108➗1=108)
  • 2(108➗2=54)
  • 3(108➗3=36)
  • 4(108➗4=27)
  • 6(108➗6=18)
  • 9(108➗9=12)
  • 12(108➗12=9)
  • 18(108➗18=6)
  • 27(108➗27=4)
  • 36(108➗36=3)
  • 54(108➗54=2)
  • 108(108➗108=1)

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108 are factors for 108.

After knowing what all the factors of 108 are let us know more about the 108 factors

Prime Factors Of 108

To know the prime factors of 108, first, you should know the prime numbers up to 108. After that, we have to divide 108 by all prime numbers. Now, we will see the prime factors by factorization method.

  • 108➗2 = 54
  • 108➗3 = 36
  • 108➗5 = 21.6
  • 108➗7 = 15.42
  • 108➗11 = 13.5
  • 108➗13 = 8.30
  • 108➗17 = 6.35
  • 108➗19 = 5.68
  • 108➗23 = 4.69
  • 108➗29 = 3.72
  • 108➗31 = 3.48
  • 108➗37 = 2.91
  • 108➗41 = 2.63
  • 108➗43 = 2.51
  • 108➗47 = 2.29
  • 108➗53 = 2.03
  • 108➗59 = 1.83
  • 108➗61 = 1.77
  • 108➗67 = 1.61
  • 108➗71 = 1.52
  • 108➗73 = 1.47
  • 108➗79 = 1.36
  • 108➗83 = 1.30
  • 108➗89 = 1.21
  • 108➗97 = 1.11

So the prime factor for the number 108 is 2 and 3

Factors Of 108 In Pairs

The product of the number whose result will be 108, that number is nothing but the pair factors of 108.

So the pair factors of 108 are 

  • 1 and 108 (1 x 108 = 108 & 108 x 1 = 108)
  • 2 and 54 (2 x 54 = 108 & 54 x 2 = 108)
  • 3 and 36 (3 x 36 = 108 & 36 x 3 = 108)
  • 4 and 27 (4 x 27 = 108 & 27 x 4 = 108)
  • 6 and 18 (6 x 18 = 108 & 18 x 6 = 108)
  • 9 and 12 (9 x 12 = 108 & 12 x 9 = 108)

Factors Of -108

The negative numbers of factors of 108 are called factors of -108.

Below You can see the numbers.

  • -1(-108➗-1=-108)
  • -2(-108➗-2=-54)
  • -3(-108➗-3=-36)
  • -4(-108➗-4=-27)
  • -6(-108➗-6=-18)
  • -9(-108➗-9=-12)
  • -12(-108➗-12=-9)
  • -18(-108➗-18=-6)
  • -27(-108➗-27=-4)
  • -36(-108➗-36=-3)
  • -54(-108➗-54=-2)
  • -108(-108➗-108=-1)

The Factors for -108 are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -108 

Factors Of 108 And Other Numbers

Here are the common factors of 108 and other numbers.

The Factors Of 108 And 21

The factors for 108 and 21 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, and 1, 3, 7, 21

  • 108 factors – 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
  • 21 factors – 1, 3, 7, 21

HCF of  108 and 21 is 3

The Factors Of 108 And 31

The factors for 108 and 8 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, and 1, 31

  • 108 factors – 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
  • 31 factors – 1, 31

HCF of  108 and 31 are non

The Factors Of 108 That Add Up To 12

The factors of 108 that add up to 12 are non but you can get 

  • -18 x 6 = -108
  • -18 + 6 = -12

The factors of -108 that add up to -12 are -18 and -6

The Factors Of 108 That Add Up To 24

The factors of 108 that add up to 24 are 18 and 6

  • 18 x 6 = 108
  • 18 + 6 = 24

The Factors Of 108 That Are Perfect Square

The factors of 108 that are perfect square are 

  • 1 and 108
  • 2 and 54
  • 3 and 36
  • 4 and 27
  • 6 and 18
  • 9 and 12

All factors for the numbers can be seen here on Factorsweb

FAQ

Which Factor Of 108 Is A Prime Number?

Prime numbers from 1 to 108 are  2 and 3

How Many Primes Numbers Are There In 108?

There are 4 prime numbers from 1 to 108 which are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

What Are The Factors Of 108?

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

How Do You Solve Factors Of 108?

The Solve by Factoring process will require four major steps:

  1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
  2. Factor the equation completely.
  3. Set each factor equal to zero, and solve.
  4. List each solution from Step 3 as a solution to the original equation.

What Numbers Are Not Factors Of 108?

All numbers, other than those already listed, will not divide 108 evenly and leave some remainder. In simple words, numbers other than 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108 are not considered factors of 108.

Conclusion

Today we gained knowledge of factors of 108 and also prime factors for 108, factors for 108 in pairs, factors for -108, and factor numbers of 108. As you have read the above article you can easily calculate and answer the question of what are factors of 108.

What are all the factors of 108

What are the prime factors of 108?