Fill in 1 to 9 in the following box and use each number once to make the equation true. Port x = port x = 5568 The answer is 174x32 = 58x96 Want a correct, concise, professional way of thinking

Fill in 1 to 9 in the following box and use each number once to make the equation true. Port x = port x = 5568 The answer is 174x32 = 58x96 Want a correct, concise, professional way of thinking

First, 5568 is decomposed into prime factors, and the result is: 5568 = 2 × 2 × 2 × 2 × 2 × 3 × 29. These factors are combined into the product of two two digit numbers or a two digit number and a three digit number: 5568 = 12 × 464 = 16 × 348 = 24 × 232 = 32 × 174 = 48 × 116 = 58 × 96 = 64 × 87
Looking at the product of three digits, only 16 × 348 and 32 × 174 are not repeated. If 16 × 348 is selected, then only 2, 5, 7 and 9 are left in the numbers from 1 to 9. Obviously, in the above combination, the four numbers are reasonable, so 16 × 348 can not be selected. If 32 × 174 is selected, then 5, 6, 8 and 9 are left in the numbers from 1 to 9, which is just 58 × 96, According to the grid arrangement in the figure, adjust 32 × 174 to 174 × 32. Finally, the answer is 174 × 32 = 58 × 96 = 5568