Question

Divisibility Tests

1. Without actual division, determine whether the number 8732 is divisible by both 2 and 3.
(3mks

Answer 1

The number 8732 is divisible by 2 but not by 3.

Step-by-step explanation:

To determine if a number is divisible by 2, we check if the last digit is even. In this case, the last digit of 8732 is 2, which is even. Therefore, 8732 is divisible by 2.

To determine if a number is divisible by 3, we add up all its digits and check if the sum is divisible by 3. In this case, 8+7+3+2=20, and 20 is not divisible by 3. Therefore, 8732 is not divisible by 3.

Therefore, the number 8732 is divisible by 2 but not by 3.

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