бра \( A C \). 5. Разложите на простые мнозкттви числа: \( \begin{array}{ll}\text { a) } 54 ; 65 ; 99 ; 162 ; 10000 ; & \text { б) } 1500 ; 7000 ; 3240 ; 4608 .\end{array} \)

Разложение на простые множители — это процесс decomposition of a number into its prime factors. Let's solve each part of the problem step by step. ### Part a) 1. **54** - \( 54 = 2 \times 27 \) - \( 27 = 3 \times 9 \) - \( 9 = 3 \times 3 \) - So, \( 54 = 2 \times 3 \times 3 \times 3 \) 2. **65** - \( 65 = 5 \times 13 \) - So, \( 65 = 5 \times 13 \) 3. **99** - \( 99 = 3 \times 33 \) - \( 33 = 3 \times 11 \) - So, \( 99 = 3 \times 3 \times 11 \) 4. **162** - \( 162 = 2 \times 81 \) - \( 81 = 3 \times 27 \) - \( 27 = 3 \times 9 \) - \( 9 = 3 \times 3 \) - So, \( 162 = 2 \times 3 \times 3 \times 3 \times 3 \) 5. **10000** - \( 10000 = 2 \times 5000 \) - \( 5000 = 2 \times 2500 \) - \( 2500 = 2 \times 1250 \) - \( 1250 = 2 \times 625 \) - \( 625 = 5 \times 125 \) - \( 125 = 5 \times 25 \) - \( 25 = 5 \times 5 \) - So, \( 10000 = 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5 \) ### Part b) 1. **1500** - \( 1500 = 2 \times 750 \) - \( 750 = 2 \times 375 \) - \( 375 = 3 \times 125 \) - \( 125 = 5 \times 25 \) - \( 25 = 5 \times 5 \) - So, \( 1500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \) 2. **7000** - \( 7000 = 2 \times 3500 \) - \( 3500 = 2 \times 1750 \) - \( 1750 = 2 \times 875 \) - \( 875 = 5 \times 175 \) - \( 175 = 5 \times 35 \) - \( 35 = 5 \times 7 \) - So, \( 7000 = 2 \times 2 \times 5 \times 5 \times 5 \times 5 \times 7 \) 3. **3240** - \( 3240 = 2 \times 1620 \) - \( 1620 = 2 \times 810 \) - \( 810 = 2 \times 405 \) - \( 405 = 3 \times 135 \) - \( 135 = 3 \times 45 \) - \( 45 = 3 \times 15 \) - \( 15 = 3 \times 5 \) - So, \( 3240 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \) 4. **4608** - \( 4608 = 2 \times 2304 \) - \( 2304 = 2 \times 1152 \) - \( 1152 = 2 \times 576 \) - \( 576 = 2 \times 288 \) - \( 288 = 2 \times 144 \) - \( 144 = 2 \times 72 \) - \( 72 = 2 \times 36 \) - \( 36 = 2 \times 18 \) - \( 18 = 2 \times 9 \) - \( 9 = 3 \times 3 \) - So, \( 4608 = 2 \times 2 \times 2 \times