Question

Обьясните используя свойства делимости почему число 156:12 253:23 126:9 189:21

Answer 1

Сумма числа 156 равна 12, сумма числа 12 равна 3
12 делится на 3
Значит, число 156 делится на 12
Аналогично и остальные числа.

Answer 2

Explanation of Divisibility Properties

To explain why the given numbers are divisible, we can use the properties of divisibility. Divisibility is the property of one number being divisible by another without leaving a remainder. Let's examine each of the given numbers:

1. 156:12: - We can divide 156 by 12 to check if it is divisible. If the division result is a whole number, then 156 is divisible by 12. - Dividing 156 by 12, we get 13 as the quotient. This means that 156 is divisible by 12 without leaving a remainder. - Therefore, 156 is divisible by 12.

2. 253:23: - Similarly, we can divide 253 by 23 to check if it is divisible. - Dividing 253 by 23, we get 11 as the quotient. This means that 253 is divisible by 23 without leaving a remainder. - Therefore, 253 is divisible by 23.

3. 126:9: - Dividing 126 by 9, we get 14 as the quotient. This means that 126 is divisible by 9 without leaving a remainder. - Therefore, 126 is divisible by 9.

4. 189:21: - Dividing 189 by 21, we get 9 as the quotient. This means that 189 is divisible by 21 without leaving a remainder. - Therefore, 189 is divisible by 21.

In summary, the given numbers are divisible by their respective divisors according to the properties of divisibility.