The factors of 108 are the numbers that divide the original number, evenly. The two numbers which get multiplied and produce the result as 108, are called pair factors of 108.
These factors are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.
We will use the factorization method to find the factors and multiples of 108.
In this method we need to first consider the number itself and one as the factors, so 108 and 1is the factors of 108 and then keep finding the factors of 108 which shall give us the number 108.
Pair Factors of 108
To find the pair factors of 108, multiply the 2 numbers in a pair to have the original numbers as 108, such numbers are as follows:
(1, 108)
(2, 54)
(3, 36)
(4, 27)
(6, 18)
(9, 12)
These were the positive pair factors for 108.
Prime Factors of 108
By prime factorisation, we get:
108 =Â 2 x 2 x 3 x 3 x 3
108 = 22 x 33
| 108 | As the unit digit is 8 | It is divisible by 2 |
| 108 | 08 are the last two digits | It is divisible 4 |
| 108 | Sum of the digits 108 is 9 | It is divisible by 3 and 9 |
| 108 | It is divisible by 2, 3 | |
| 108 | And also by 6 |
So the factors of 108 are 1, 2, 3 ,4, 6, 9, 12, 18, 27, 36, 54, 108.
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