Factors of 8 are basically the numbers that divide it evenly or exactly without leaving any remainder i.e if a number that leaves a remainder of zero, is called a factor.
- All Factors : 1,2,4, and 8
- Factors in pairs : (1,8), (2,4)
- Prime factors : 2
Now, let us see the prime factors and prime factorization of the number.
Prime Factorization of 8
Prime factorization is a method of “expressing” or finding the given number as the product of prime numbers. If a number occurs more than once in prime factorization, it is usually expressed in exponential form to make it more compact.
So, here prime factorization comes out to be: 2 x 2 x 2
Prime Factorization of 8 by Upside-Down Division Method
Upside-Down Division is one of the techniques of the Prime factorization method used to find factors of numbers.
In this method, you will divide a given or “composite” number evenly by the several prime numbers(starting from the smallest) till it gets a prime number.
It is called Upside-Down Division because the symbol is flipped upside down.
Here, 8 is an even number. So it is undoubtedly divisible by 2 with no remainder.
Thus we do 8÷ 2 = 4. Now find the prime factors of the obtained quotient.
Repeat Step 1 and Step 2 until we get a result of prime number as the quotient. Here, 4 is the quotient. Now find the prime factor of 4
4÷ 2 = 2. Here, 2 is the prime number.
So we can stop the process.
So, now the prime factorization with the upside-down division method is 2 × 2 × 2.
Prime Factorization of 8 by Factor Tree Method
The Factor tree method is another technique for producing the prime factorization of a given number.
To use this method for a number x,
Firstly consider two factors say a,b of x such that a*b is equal to x and at least one of them (a, b) is a prime factor say a.
Then consider two factors of b say c, d such that again at least one of them is a prime factor. This process is repeated until both the factors are prime i.e if we get both the factors as prime at any step, we stop the process there.
Following is the factor tree of the given number.
Here we can get the prime factorization of 8 as 2 * 2 * 2 and the prime factor is 2.
All the factors are 1,2,4, and 8.
The only prime factor of the given number is 2.
The sum of factors of the given number is 15.