The nos : 2,4,6,8.......98,100 are multiplied together.The number of zeros at the end of the product is?
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Answered by
10
In a product, we get 0's in the following cases:
(2 and 5) multiplication (2*5 etc)
10 and its factors multiplication(10,20,30 etc)
Here, since the multiplication involves only even numbers, there won't be any case of (2*5)
Hence we have to consider only multiples of 10
10,20,30,40,40,60,70,80,90,100
From this we can see that, 11 zeros are to be at the end product of multiplication.
[2*4*....*90 = 9 zeros.... 92*94*...*100 = 2 zeros.. tot = 11 zeros]
Hence, the number of zeros at the end of product = 11
Hope it helps.
(2 and 5) multiplication (2*5 etc)
10 and its factors multiplication(10,20,30 etc)
Here, since the multiplication involves only even numbers, there won't be any case of (2*5)
Hence we have to consider only multiples of 10
10,20,30,40,40,60,70,80,90,100
From this we can see that, 11 zeros are to be at the end product of multiplication.
[2*4*....*90 = 9 zeros.... 92*94*...*100 = 2 zeros.. tot = 11 zeros]
Hence, the number of zeros at the end of product = 11
Hope it helps.
Answered by
6
Answer:
I TIS 12
Step-by-step explanation:
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