Question

The number of zeros in the product of the first 100 natural numbers is

Answer 1

the no. zeros in the product of first 100 natural no.s are (11)

Answer 2

Answer:

24

Step-by-step explanation:

1×2×...100=100!

Number of zeros in product of n numbers =[  

5

n

​  

]+[  

5  

2

 

n

​  

]+[  

5  

3

 

n

​  

]+...

Number of zeros in product of 100 numbers =[  

5

100

​  

]+[  

5  

2

 

100

​  

]+[  

5  

3

 

100 ]

where [.] is greatest integer function

=[20]+[4]+[0.8]

=20+4=24