is 5 a factor of 2007^2007+2 explain in step by step a only
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Answered by
1
2007^2007+2
2007^2009
now we know that if we if we multiply it's ones digit will always be either 7,9,3,1. so 5 can't be a factor of 2007^2007+2
hope you like it. if any doubt ples let me know.and ples mark as brainliest
2007^2009
now we know that if we if we multiply it's ones digit will always be either 7,9,3,1. so 5 can't be a factor of 2007^2007+2
hope you like it. if any doubt ples let me know.and ples mark as brainliest
rishikesh123:
dear friend if the unit place will be 3 then it can be a a factor of 5
Answered by
2
let number be 2007 ^ x
as 2007 ends with 7
therefore therefore there are four possibilities as to what the last digit of 2007 ^ x cold be
they are 7 , 9 , 3 and 1
now the remainder which is obtained as a result of x / 4 will give us the last digit of 2007 ^ x
if remainder is 0 then it is 1
if remainder is 1 then it is 7
if remainder is 2 then it is 9
and if remainder is 3 then it is 3
now 2007 / 4 leaves a remainder of 3
therefore 2007 ^ 2007 ends in 3
therefore 2007 ^ 2007 + 2 ends in 5
as it ends in 5
2007 ^ 2007 + 2 is a factor of 5
as 2007 ends with 7
therefore therefore there are four possibilities as to what the last digit of 2007 ^ x cold be
they are 7 , 9 , 3 and 1
now the remainder which is obtained as a result of x / 4 will give us the last digit of 2007 ^ x
if remainder is 0 then it is 1
if remainder is 1 then it is 7
if remainder is 2 then it is 9
and if remainder is 3 then it is 3
now 2007 / 4 leaves a remainder of 3
therefore 2007 ^ 2007 ends in 3
therefore 2007 ^ 2007 + 2 ends in 5
as it ends in 5
2007 ^ 2007 + 2 is a factor of 5
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