local mce, mfl, msq, mmi, mma, mab = math.ceil, math.floor, math.sqrt, math.min, math.max, math.abs local function getprimes(x) local primes = {} local allnums = {} for i = 1, x do allnums[i] = true end for i = 2, x do if allnums[i] then table.insert(primes, i) local lim = mfl(x / i) for j = 2, lim do allnums[j * i] = false end end end return primes end local function getdivisorparts(x, primes) local prime_num = #primes local tmp = {} local lim = mce(msq(x)) local primepos = 1 local dv = primes[primepos] while primepos <= prime_num and dv <= lim do if x % dv == 0 then local t = {} t.p = dv t.cnt = 1 x = mfl(x / dv) while x % dv == 0 do x = mfl(x / dv) t.cnt = t.cnt + 1 end table.insert(tmp, t) lim = mce(msq(x)) end if primepos == prime_num then break end primepos = primepos + 1 dv = primes[primepos] end if x ~= 1 then local t = {} t.p, t.cnt = x, 1 table.insert(tmp, t) end return tmp end local n = io.read("*n") local primes = getprimes(mce(msq(n))) local dvp = getdivisorparts(n, primes) local a, b = 1, 1 for i = 1, #dvp do local p = dvp[i].p local cnt = dvp[i].cnt if cnt % 2 == 1 then b = b * p cnt = cnt - 1 end cnt = mfl(cnt / 2) for j = 1, cnt do a = a * p end end print(a .. " " .. b)