1. The problem asks to find the common number between several decompositions of numbers into products of two whole numbers, where one factor (the divisor) is between 3 and 4 digits (100 to 9999). 2. Each decomposition is given as $N = d \times k$ where $d$ is the divisor and $k$ is the quotient, both whole numbers. 3. We are given multiple examples such as: - $642352 = 796 \times 807$ - $2963856 = 1232 \times 2404$ - $2049580 = 1420 \times 1443$ - ... and so on. 4. To find the common number, we look for a number that appears as a divisor in multiple decompositions. 5. Observing the divisors: - 796 - 1232 - 1420 - 1080 - 1365 - 1100 - 1200 - 1001 - 1003 - 2500 - 1233 - 345 - 1007 - 4000 - 1124 - 1400 - 1350 Notice that 1233 appears multiple times: in decompositions of 3375093, 15406722, 3254562, 5233974, and 17326518. 6. Also, 1001 appears multiple times: in 3310591, 1448463, and 2762186. 7. The number 1233 is the most frequent divisor among the given decompositions. 8. Therefore, the common number between these numbers is **1233**. Final answer: 1233