Question

which are the possible remainders on dividing any number wiyh 4
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Answer 1

Possible remainders when a number is divided by 4 are 0 , 1 , 2 , 3

Step-by-step explanation:

To find: The possible remainders when divided any number with 4

By Euclid division lemma as we know that

If there are two positive number a and b there exist two numbers q and r such that 0< r < b

So  Let if we divide any number a by 4 we get

a= 4 q + r where 0 < r < 4

Therefore

the value of r can be  0, 1, 2, 3

Hence, possible remainders when a number is divided by 4 is 0,1,2,3

#Learn more

State Euclid division lemma.

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