Question

Разложите на простые множители 60,54,196,216,4120,5176,3276 умоляю вас

Answer 1

60/2. 30/2 15/3 5/5 1 54/2 27/3 9/3 3/3 1 196/2 98/2 49/49 1 216/2 108/2 54/2 27/3 9/3 3/3 1 4120/2 2070/2 1035/5 207/9 23/23 1

Answer 2

Prime Factorization of Numbers

Sure! I'd be happy to help you with the prime factorization of the given numbers. Let's break down each number into its prime factors:

1. 60: To find the prime factorization of 60, we can start by dividing it by the smallest prime number, which is 2. We get 60 ÷ 2 = 30. Now, we divide 30 by 2 again: 30 ÷ 2 = 15. Finally, we divide 15 by 3: 15 ÷ 3 = 5. Therefore, the prime factorization of 60 is 2 × 2 × 3 × 5.

2. 54: To find the prime factorization of 54, we can again start by dividing it by 2. We get 54 ÷ 2 = 27. Now, we divide 27 by 3: 27 ÷ 3 = 9. Finally, we divide 9 by 3 again: 9 ÷ 3 = 3. Therefore, the prime factorization of 54 is 2 × 3 × 3 × 3.

3. 196: To find the prime factorization of 196, we can divide it by 2. We get 196 ÷ 2 = 98. Now, we divide 98 by 2 again: 98 ÷ 2 = 49. Since 49 is a perfect square, we can write it as 7 × 7. Therefore, the prime factorization of 196 is 2 × 2 × 7 × 7.

4. 216: To find the prime factorization of 216, we can divide it by 2. We get 216 ÷ 2 = 108. Now, we divide 108 by 2 again: 108 ÷ 2 = 54. Continuing, we divide 54 by 2: 54 ÷ 2 = 27. Finally, we divide 27 by 3: 27 ÷ 3 = 9. Therefore, the prime factorization of 216 is 2 × 2 × 2 × 3 × 3 × 3.

5. 4120: To find the prime factorization of 4120, we can divide it by 2. We get 4120 ÷ 2 = 2060. Now, we divide 2060 by 2 again: 2060 ÷ 2 = 1030. Continuing, we divide 1030 by 2: 1030 ÷ 2 = 515. Since 515 is not divisible by 2, we try dividing it by the next prime number, which is 3. We get 515 ÷ 5 = 103. Finally, we divide 103 by 103: 103 ÷ 103 = 1. Therefore, the prime factorization of 4120 is 2 × 2 × 2 × 5 × 103.

6. 5176: To find the prime factorization of 5176, we can divide it by 2. We get 5176 ÷ 2 = 2588. Now, we divide 2588 by 2 again: 2588 ÷ 2 = 1294. Continuing, we divide 1294 by 2: 1294 ÷ 2 = 647. Since 647 is a prime number, we stop here. Therefore, the prime factorization of 5176 is 2 × 2 × 647.

7. 3276: To find the prime factorization of 3276, we can divide it by 2. We get 3276 ÷ 2 = 1638. Now, we divide 1638 by 2 again: 1638 ÷ 2 = 819. Continuing, we divide 819 by 3: 819 ÷ 3 = 273. Finally, we