Use Algorithm prod2(x, y) for large integer multiplication to find the product 2506 and 69309. How many multiplication are needed to find the product of the two integers if prob2(x, y) is used.

Algorithm prod2(a, b) //Multiply two large integers a and b Input: Output: prod, the product of a and t n- maximum(number of digits of a, number of digits of b); if(a 0 or b 0) then return 0 else if(n threshold) return a * b in the usual way large integers a and b; else 2 x_ a divide 10m- y= a rem I w b divide 10m, z = b rem 10m. r- prod2(x + y, w + z); m. q prod2(y, z); return p *102m+ (r-p-q) * 10m+ 9