Factors of 108 room the integers that deserve to divide the original number evenly. There space a total of twelve determinants of 108, they space 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and also 108.

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The pair components of 108 space the numbers that room multiplied in pairs bring about an original number. The determinants of 108 deserve to be positive or negative. The pair factors of 108 can also be stood for in the positive and in the an adverse pair. Because that example, the aspect pair the 108 have the right to be (1, 108) or (-1, -108). If we multiply the negative pair determinants of 108, climate it outcomes in 108. In this article, we space going to discover the components of 108 and also get to know around the hopeful and negative pair components of 108, and the element factorization the 108 and also solved examples.

What space the factors of 108?

The components of 108 are the number that division 108 specifically without leaving a remainder. Together the number 108 is an also composite number, that has numerous factors various other than 1 and 108. Hence, the determinants of 108 room 1, 2, 3 , 4, 6, 9, 12, 18, 27, 36, 54, and also 108. 

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Pair factors of 108

A pair of numbers that room multiplied together resulting in an initial number 108 is referred to as the pair factors of 108. As discussed earlier, the pair factors of 108 have the right to be stood for in positive as well as in negative form. Thus, the confident and an adverse pair determinants of 108 are provided below:

Positive Pair factors of 108:


Positive factors of 108

Positive Pair components of 108

1×108

(1, 108)

2×54

(2, 54)

3×36

(3, 36)

4×27

(4, 27)

6×18

(6, 18)

9×12

(9, 12)


Negative Pair determinants of 108:


Negative factors of 108

Negative Pair components of 108

-1×-108

(-1, -108)

-2×-54

(-2, -54)

-3×-36

(-3, -36)

-4×-27

(-4, -27)

-6×-18

(-6, -18)

-9×-12

(-9, -12)


How to Find factors of 108?

We deserve to simply advice the factors of 108 by the basic department method. In the department method, the components of 108 are uncovered by separating 108 by different consecutive integers. If the integers division 108 exactly and also leave the remainder 0, then the integers room the factors of 108. Here, us will talk about how to find the components of 108 making use of the department method.

108/1 = 108 (Factor = 1 and Remainder = 0)108/2 = 54 (Factor = 2 and also Remainder = 0)108/3 = 36 (Factor = 3 and Remainder = 0)108/4 = 27 (Factor = 4 and Remainder = 0)108/6 = 18 (Factor = 6 and also Remainder = 0)108/9 = 12 (Factor = 9 and also Remainder = 0)108/12 = 9 (Factor = 12 and Remainder = 0)108/18 = 6 (Factor = 18 and also Remainder = 0)108/27 = 4 (Factor = 27 and Remainder = 0)108/36 = 3 (Factor = 36 and also Remainder = 0)108/54 = 2 (Factor = 54 and Remainder = 0)108/108 = 1 (Factor = 108 and also Remainder = 0)

If we division 108 by any kind of numbers other than 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108, it leaves a remainder. Hence, the determinants of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and also 108.

Prime administer of 108

In the prime factorization that 108, the number 108 is created as the product the its element factors. Now, permit us discuss how to uncover the prime components of 108.

Divide the number 108 by the the smallest prime number, i.e., 2. 108/2 = 52Again division 52 by 2. 52/2 = 27Now, 27 is an odd number and cannot be split by 2. Division 27 by the following prime number, i.e.,3. 27/3 = 9Divide 9 by 3. 9/3 = 3Divide 3 by 3. 3/3 =1We cannot proceed further, since 1 is not divisible by any kind of prime number

Thus, the prime administer of 108 is 2 × 2 × 3 × 3 × 3 or 22 × 33.

Factor Tree of 108

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Important facts to Remember

Factors that 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108Prime components of 108: 2 and 3Prime factorisation the 108 = 22 × 33Sum of components of 108 = 280

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Solved Examples

Example 1:

Find the usual factors of 108 and also 107.

Solution:

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

The determinants of 107 room 1 and 107.

As 107 is a element number, the common factor of 108 and 107 is 1.

Example 2:

Find the usual factors that 108 and 109.

Solution:

Factors of 108 = 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and also 108.

Factors that 109 = 1 and 109.

As 109 is a element number, the usual factor the 108 and also 109 is 1 only.

Example 3:

Find the common factors the 108 and 54.

Solution: 

The components of 108 space 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and also 108.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54.

Hence, the common factors the 108 and 54 are 1, 2, 3, 6, 9, 18, 27 and 54.

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