Question

Поставьте вместо * такие цифры, чтобы число 9*6* делилось на 6. выпишите все такие числа

Answer 1

Число делится на 6, если оно делится на 2 и 3. (на 2 делится, если последняя цифра четная; на 3, если сумма цифр делится на 3). Исходя из этого можно сделать вывод, что последняя цифра четная, а оставшаяся неизвестная цифра должна в сумме с последней давать число делящееся на 3.

Числа: 1 и 2; 4 и 2; 7 и 2; 2 и 4; 5 и 4; 3 и 6; 1 и 8; 3 и 0; 6 и 0; 9 и 0.

Answer 2

Solving for Numbers Divisible by 6

To find numbers that are divisible by 6, we need to find numbers that are divisible by both 2 and 3. This means the numbers must be even and the sum of their digits must be divisible by 3.

Step 1: Find even numbers. - Even numbers end in 0, 2, 4, 6, or 8.

Step 2: Find numbers whose sum of digits is divisible by 3. - The sum of the digits of the number should be divisible by 3.

Applying the Steps

Let's apply these steps to find numbers that satisfy the given condition.

1. Even Numbers: - The number must end in 6 to be even and divisible by 6.

2. Sum of Digits: - The sum of the digits should be divisible by 3.

Finding Numbers

By following the above steps, we can find the numbers that satisfy the given condition. Let's calculate: - 966: 9 + 6 + 6 = 21 (divisible by 3) - 696: 6 + 9 + 6 = 21 (divisible by 3)

So, the numbers that satisfy the condition are 966 and 696.