Aptitude Question: Download Questions PDF
What is the number of zeros at the end of the product of the numbers from 1 to 100?
Answer:
zeros are obtained when the product of numbers involves the number '5' or multiples of number '5'.
for example,the product of 1*2*3*4*5=120 i.e there is only one zero bcoz there is only one '5' and no other multiple of '5' is involved in multiplication.
similarly 1*2*3*4*5*6*7*8*9*10=3628800 i.e there are 2 zeros in the end product bcoz there is a '5' and a '10' which is a multiple of '5' are involved.
however in 25*24=600 you see 2 zeros in the end product bcoz 25 can be written as 5*5.
therefore the number of zeros in the end product of numbers 1 to 100 is 23
for example,the product of 1*2*3*4*5=120 i.e there is only one zero bcoz there is only one '5' and no other multiple of '5' is involved in multiplication.
similarly 1*2*3*4*5*6*7*8*9*10=3628800 i.e there are 2 zeros in the end product bcoz there is a '5' and a '10' which is a multiple of '5' are involved.
however in 25*24=600 you see 2 zeros in the end product bcoz 25 can be written as 5*5.
therefore the number of zeros in the end product of numbers 1 to 100 is 23
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