Problem
NT-B1-M05-P003 A Product Equals a Number
#3
★☆☆☆☆ Level 1 of 5
Find all ordered pairs of positive integers \((x,y)\) such that \(xy=24\).
Each possible \(x\) is a positive divisor of \(24\).
The positive divisors of \(24\) are \(1,2,3,4,6,8,12,24\). For each \(x\), we have \(y=\frac{24}{x}\). Thus the pairs are \((1,24)\), \((2,12)\), \((3,8)\), \((4,6)\), \((6,4)\), \((8,3)\), \((12,2)\), \((24,1)\).
Order matters: \((3,8)\) and \((8,3)\) are different.