Manipulating K's

Since the expression for the reaction quotient Q  depends on the reaction equation, the magnitude of K also depends on how the reaction equation is written.

CaCO3(s) CaO(s) + CO2(g)
Q = p(CO2)

If the equation is reversed, new Q = 1/Q1 and new K = 1/K1 = (K)–1

CaO(s) + CO2(g)  CaCO3(s)
Q  =  1 = (p(CO2))–1
p(CO2)

If the coefficients are all multiplied by n, new Q = (Q1)n and new K = (K1)n.
n = 2 in the example below.

2CaCO3(s) 2CaO(s) + 2CO2(g)
Q = p(CO2)2