a) \((1000 + 1) :11 = 1001 : 11 = 91 = 7 . 13\)
b) \({14^2} + {5^2} + {2^2}= 196 + 25 + 4 = 225 ={3^2}{.5^2}\)
c) \(29.31 + 144 : {12^2}= 899 + 144 : 144 \)\(\,= 899 + 1 = 900 ={2^2}{.3^2}{.5^2}\)
d) \( 333: 3 + 225 :{15^2}= 111 + 225 : 225 \)\(\,= 111 + 1 = 112 ={2^4}. 7\).