How to calculate $3*5*17*257-3^{16}$ using factorization formulas? look at this:
$2*4*10*82*6562-3^{16}$
It's easy to calculate it with elementary arithmetic.
but how to calculate it using factorization formulas?

$$2\times 4\times 10\times 82\times 6562-3^{16} $$ $$=(3^1-1)(3^1+1)(3^2+1)(3^4+1)(3^8+1)-3^{16}$$ $$=(3^2-1)(3^2+1)(3^4+1)(3^8+1)-3^{16}$$ $$=(3^4-1)(3^4+1)(3^8+1)-3^{16}$$ $$=(3^8-1)(3^8+1)-3^{16}$$ $$=(3^{16}-1)-3^{16}$$ $$=-1$$ 
