Question

Какую цифру следует поставить вместо звёздочки в записи 311* чтобы полученное число делилось на 2,3 и 9 помогите

Answer 1

Нужно поставить цифру : 4
Получается : 3114÷ 2 =1557; 3114÷3 = 1038 ; 3114÷9 = 346 )

Answer 2

3114 это число нацело делится и на 2, и на 3, и на 9.

Answer 3

Finding the Number Divisible by 2, 3, and 9

To find the number that can replace the asterisk in the expression 311* and result in a number divisible by 2, 3, and 9, we can use the properties of divisibility for each of these numbers.

Divisibility by 2: A number is divisible by 2 if its last digit is even. Therefore, the number represented by 311* should end with an even digit to be divisible by 2.

Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3. Therefore, the sum of the digits of the number represented by 311* should be divisible by 3.

Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9. Therefore, the sum of the digits of the number represented by 311* should be divisible by 9.

Solution

To find the number that can replace the asterisk in 311* and result in a number divisible by 2, 3, and 9, we need to consider the properties of each of these numbers.

Divisibility by 2: The last digit of the number should be even. Looking at the number 311, the last digit is 1, which is odd. Therefore, any even number can replace the asterisk to make the resulting number divisible by 2.

Divisibility by 3: The sum of the digits should be divisible by 3. The sum of the digits in 311 is 3+1+1=5, which is not divisible by 3. Therefore, we need to find a number to replace the asterisk such that the sum of the digits is divisible by 3.

Divisibility by 9: The sum of the digits should be divisible by 9. The sum of the digits in 311 is 5, which is not divisible by 9. Therefore, we need to find a number to replace the asterisk such that the sum of the digits is divisible by 9.

Conclusion

To summarize, any even number can replace the asterisk in 311* to make the resulting number divisible by 2. However, to make it divisible by 3 and 9, we need to find a number such that the sum of the digits is divisible by 3 and 9.