Question

Попробуйте самостоятельно сформулировать признаки делимости на число 4 и на число 25. Используя полученные признаки кзнайте какие из чисел 328 425 554 196 775 7.589.360 5000 2350 9100 делятся на число 4и какие из данных чисел делятся на число 25

Answer 1

328 554 196 делятся на 4
425 775 7.589.360 5000 2350 9100 делятся на 25

Answer 2

Divisibility by 4:

To determine if a number is divisible by 4, we can check if the last two digits of the number form a multiple of 4. If the last two digits are divisible by 4, then the entire number is divisible by 4.

Divisibility by 25:

To determine if a number is divisible by 25, we can check if the last two digits of the number are 00 or if the number formed by the last two digits is divisible by 25. If either of these conditions is met, then the entire number is divisible by 25.

Now let's apply these divisibility rules to the given numbers:

1. 328: - Divisibility by 4: The last two digits, 28, are not divisible by 4. Therefore, 328 is not divisible by 4. - Divisibility by 25: The last two digits, 28, are not 00 and not divisible by 25. Therefore, 328 is not divisible by 25.

2. 425: - Divisibility by 4: The last two digits, 25, are divisible by 4. Therefore, 425 is divisible by 4. - Divisibility by 25: The last two digits, 25, are not 00 but are divisible by 25. Therefore, 425 is divisible by 25.

3. 554: - Divisibility by 4: The last two digits, 54, are not divisible by 4. Therefore, 554 is not divisible by 4. - Divisibility by 25: The last two digits, 54, are not 00 and not divisible by 25. Therefore, 554 is not divisible by 25.

4. 196: - Divisibility by 4: The last two digits, 96, are divisible by 4. Therefore, 196 is divisible by 4. - Divisibility by 25: The last two digits, 96, are not 00 but are divisible by 25. Therefore, 196 is divisible by 25.

5. 775: - Divisibility by 4: The last two digits, 75, are not divisible by 4. Therefore, 775 is not divisible by 4. - Divisibility by 25: The last two digits, 75, are not 00 and not divisible by 25. Therefore, 775 is not divisible by 25.

6. 7,589,360: - Divisibility by 4: The last two digits, 60, are divisible by 4. Therefore, 7,589,360 is divisible by 4. - Divisibility by 25: The last two digits, 60, are not 00 but are divisible by 25. Therefore, 7,589,360 is divisible by 25.

7. 5,000: - Divisibility by 4: The last two digits, 00, are divisible by 4. Therefore, 5,000 is divisible by 4. - Divisibility by 25: The last two digits, 00, are divisible by 25. Therefore, 5,000 is divisible by 25.

8. 2,350: - Divisibility by 4: The last two digits, 50, are divisible by 4. Therefore, 2,350 is divisible by 4. - Divisibility by 25: The last two digits, 50, are not 00 but are divisible by 25. Therefore, 2,350 is divisible by 25.

9. 9,100: - Divisibility by 4: The last two digits, 00, are divisible by 4. Therefore, 9,100 is divisible by 4. - Divisibility by 25: The last two digits, 00, are divisible by 25. Therefore, 9,100 is divisible by 25.

In summary: - The numbers 425, 196, 7,589,360, 5,000, 2,350, and 9,100 are divisible by 4. - The numbers 425, 196, 7,589,360, 5,000, 2,350, and 9,100 are divisible by 25.