Question

Find the maximum power of 5 which can divide 49!.
et answered
Select one:
ed out of 1
O a. 12
ag question
b. 11
O
C. 10
d. 9
t​

Answer 1

Given : 49!.

To find : maximum power of 5 which can divide 49!.

Solution:

Direct formula  is  [ 49/5 ]   + [ 49/5² ]   + [ 49/5³ ]  +...........

[ 9.8 ]  +  + [ 1.96]  +  [ 0392]  +....

= 9  + 1  + 0 + 0.....

Hence maximum power of 5 is 10

49! = 49 * 48 * 47 * ......................................* 2 * 1

terms having 5

5 , 10 , 15 , 20 , 25 , 30 , 35 , 40 , 45  

= 9

25 has 5 * 5

Hence 9 + 1 = 10

maximum power of 5 is 10  which can divide 49!.

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