Question

What is the sum of the factors of $2^4\times 3^3$?

Answer 1

$\to$ Factors of $2^4=2^0,2^1,2^2,2^3,2^4$

$\to$Factors of $3^3=3^0,3^1,3^2,3^3$

$\to$ Sum $=(2^0+2^1+--+2^4)+(3^0+---+3^3)$

$=(1+2+4+8+16)+(1+3+9+27)$

$=31+40=71$