The Gaussian integer $3-5i$ can be written as a product $3-5i = u\times p\times q$ , there u is a unit and and p,q are Gaussian primes in standard form. Decide u.
How can i determine u here by factorize 3-5i here? I have tried $3^2+5^2 = 34 => 2 \times 17 => (1+i)\times(1+4i)$ is this correct how can i calculate u?