Question

Find the number of zeroes in 159!
Select one:
O a. 35
O b. 33
OC 38
O d.37​

Answer 1

Answer:

The answer was the o a. 35

Answer 2

Answer:

Here we will go to find the number of zeroes in $159!$ using how many $5's$ are present in $159!$. Number of zeroes: Option c: $38$

Step-by-step explanation:

For find the number of zeroes in the factorial we should do the following steps.

• If a last digit of a number is zero it should be done by $2$ and $5$ .That is $2 * 5$ becomes $10$.

• So, we have to check how many $2$ and $5$ comes in given factorial.

• As we know that, $2$ is a multiple of every even number. Therefore, it is difficult to count how many $2's$ in the factorial .

• So that we should calculate how many $5's$ in the given factorial for find the number of zeroes in the given factorial.

For that, $159!$ should be divided by $5$.

                     $159$ ÷ $5$ = $31$ (Quotient) and $4$(reminder)

again that quotient should divide by $5$.

                       $31$ ÷ $5$ = $6$ (Quotient) and $1$(reminder)

again that quotient should divide by $5$.

                        $6$ ÷ $5$ = $1$ (Quotient) and $1$(reminder)

Number of $5's$ in $159!$ = $31+6+1=38$

Final solution: Number of zeros in  $159!$ $=38$