Question

How to prime factorise the number $104$?

Answer 1

Hint: To solve this given problem, we should divide the given number with a least prime number and we have to repeat it until it is left with a pair of prime numbers. And at last, pick and write every prime number in the factors, by which we divided the number.

Complete step-by-step solution:
To factorize the given number with a prime number, we have to divide again and again with the least divisible prime numbers. Let us consider the given number which is $104$, And the least prime number we can divide the given number is $2$. When we do so we get the number $2$ and $52$. Now not down that $2$ and again divide the other number with the least prime number which is $2$. And we get $2$ and $26$. Now note down the $2$, and repeat the process again, we get $2$ and $13$. And the prime factor for the number $104$ are $2 \times 2 \times 2 \times 13$, which can also be written as,
Prime factor of $104$$ = {2^3} \times 13$.
In mathematically it can be written as,
$104 = \dfrac{{104}}{2} = \dfrac{{52}}{2} = \dfrac{{26}}{2} = 13$
And we should pick the prime numbers alone from the process. We get ${2^3} \times 13$.

Note: The process has to be repeated until the other number on the right side is divided by the pair of prime numbers. Start with the least prime number if the given number is not divisible by $2$, then go for $3$ and so on until the number is divided by the prime number.