What Times What Is 108

Factors of 108 are the integers that can divide the original number evenly. There are a total of twelve factors of 108, they are 1, 2, 3, 4, six, ix, 12, 18, 27, 36, 54 and 108.

The pair factors of 108 are the numbers that are multiplied in pairs resulting in an original number. The factors of 108 can be positive or negative. The pair factors of 108 can also be represented in the positive as well as in the negative pair. For example, the factor pair of 108 can be (1, 108) or (-1, -108). If nosotros multiply the negative pair factors of 108, then it results in 108. In this article, we are going to learn the factors of 108 and also become to know about the positive and negative pair factors of 108, and the prime factorization of 108 and solved examples.

What are the Factors of 108?

The factors of 108 are the numbers that split 108 exactly without leaving a residual. As the number 108 is an even blended number, it has many factors other than 1 and 108. Hence, the factors of 108 are 1, ii, three , 4, vi, 9, 12, 18, 27, 36, 54, and 108.

Factors of 108

Pair Factors of 108

A pair of numbers that are multiplied together resulting in an original number 108 is called the pair factors of 108. Equally discussed earlier, the pair factors of 108 tin be represented in positive besides as in negative form. Thus, the positive and negative pair factors of 108 are given below:

Positive Pair Factors of 108:

Positive Factors of 108	Positive Pair Factors of 108
1×108	(1, 108)
2×54	(2, 54)
3×36	(iii, 36)
4×27	(4, 27)
vi×18	(6, 18)
ix×12	(9, 12)

Negative Pair Factors of 108:

Negative Factors of 108	Negative Pair Factors of 108
-1×-108	(-1, -108)
-ii×-54	(-2, -54)
-three×-36	(-3, -36)
-4×-27	(-4, -27)
-half dozen×-eighteen	(-half-dozen, -xviii)
-nine×-12	(-9, -12)

How to Find Factors of 108?

We tin can just evaluate the factors of 108 past the bones division method.In the division method, the factors of 108 are found past dividing 108 by different sequent integers. If the integers separate 108 exactly and leave the remainder 0, then the integers are the factors of 108. Here, nosotros will discuss how to find the factors of 108 using the partitioning method.

108/ane = 108 (Gene = 1 and Residuum = 0)
108/ii = 54 (Factor = 2 and Remainder = 0)
108/three = 36 (Gene = iii and Residue = 0)
108/four = 27 (Cistron = iv and Residual = 0)
108/6 = 18 (Factor = 6 and Remainder = 0)
108/nine = 12 (Factor = 9 and Rest = 0)
108/12 = 9 (Cistron = 12 and Rest = 0)
108/eighteen = 6 (Factor = 18 and Remainder = 0)
108/27 = 4 (Factor = 27 and Rest = 0)
108/36 = 3 (Factor = 36 and Remainder = 0)
108/54 = 2 (Gene = 54 and Remainder = 0)
108/108 = one (Factor = 108 and Balance = 0)

If we split 108 by whatever numbers other than 1, 2, three, 4, 6, ix, 12, 18, 27, 36, 54, and 108, it leaves a residuum. Hence, the factors of 108 are 1, two, three, 4, 6, ix, 12, xviii, 27, 36, 54, and 108.

Prime number Factorization of 108

In the prime number factorization of 108, the number 108 is written every bit the product of its prime factors. Now, permit us discuss how to notice the prime factors of 108.

Divide the number 108 by the smallest prime number, i.e., two. 108/ii = 52
Again divide 52 past 2. 52/2 = 27
Now, 27 is an odd number and cannot be divided by 2. Divide 27 by the next prime number, i.due east.,3. 27/3 = 9
Split up 9 by iii. 9/3 = iii
Dissever 3 by 3. iii/3 =1
Nosotros cannot proceed further, since 1 is non divisible by any prime

Thus, the prime number factorization of 108 is two × 2 × three × 3 × iii or 2 ² × 3 ³.

Video Lesson on Prime number Factors

Factor Tree of 108

Factor tree of 108

Important Facts to Remember

Factors of 108:ane, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Prime factors of 108: 2 and 3
Prime number factorisation of 108 = 2²× 3³
Sum of factors of 108 = 280

Factors of a Number
Prime Numbers
What is Prime number Factorisation?

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Solved Examples

Example 1:

Observe the mutual factors of 108 and 107.

Solution:

The factors of 108 are ane, 2, iii, 4, 6, ix, 12, eighteen, 27, 36, 54, and 108.

The factors of 107 are 1 and 107.

As 107 is a prime, the common factor of 108 and 107 is ane.

Example two:

Find the common factors of 108 and 109.

Solution:

Factors of 108 = i, 2, 3, 4, half dozen, 9, 12, 18, 27, 36, 54, and 108.

Factors of 109 = 1 and 109.

As 109 is a prime, the common factor of 108 and 109 is 1 only.

Example 3:

Observe the common factors of 108 and 54.

Solution:

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

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

Hence, the common factors of 108 and 54 are ane, 2, 3, half dozen, 9, 18, 27 and 54.

Annals at BYJU'S to know virtually the factors of other numbers and mathematical concepts in a fun and engaging way.

Ofttimes Asked Questions on Factors of 108

What are the factors of 108?

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

What is the prime factorization of 108?

The prime factorization of 108 is 2 × two × 3 × three × three or ii² × three³.

What are the positive pair factors of 108?

The positive pair factors of 108 are (1, 108), (2, 54), (3, 36), (four, 27), (6, 18) and (nine, 12).

Write downwards the negative pair factors of 108.

The positive pair factors of 108 are (-1, -108), (-2, -54), (-3, -36), (-four, -27), (-6, -18) and (-9, -12).

Is 27 a factor of 108?

Yeah, 27 is a factor of 108. As 27 divides 108 exactly and leaves the remainder 0, 27 is a factor of 108.