Question

the power on 990 that will exactly devide 1090! is??

Answer 1

108

990 = 11*10*9 

1090! = 1090 * 1089!
1089! has 11,22,33,... , 121,242,363, ... 1089
In total, there are 99 + 9 = 108 => 11^108

=> Highest power of 990 which divides 10901 = 108 
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please mark as brainliest answer

Answer 2

Answer:

108

Step-by-step explanation

look sometimes we have to deal with questions to find out answers.., there it is given, what is the highest power ON 990 ..that will divide 1090 exactly so..

prime factorisation of 990 in order to obtain the highest power=

990 = 11 × 3 ^2 × 2 × 5

so we got 11 as the highest power ON 990.

and now,

The highest power of 990 which would divide 1090! would be the power

of 11 available in 990.

This is given by [1090/11] + [1090/121] = 99 + 9 = 108.