# Write whether every positive integer can be of the form 4q + 2, where q is an integer. Justify your answer

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by tanviw

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by tanviw

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The Brainliest Answer!

Let a be a given positive number.

On dividing a by 4, let q be the quotient and r be the remainder.

Then,by Euclid's algorithm,we have:

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

a=4q+r where r=0,1,2,3

a=4q+2=2(2q+1)

It is clearly shown that 2q+1 is divisible by 2.Therefore,4q+2 is a positive integer.