To determine if 19,151 is divisible by 11, we can use the alternating digit sum rule: Add the first digit (1), subtract the next digit (9), add the next digit (1), subtract the next digit (5), and so on. If the result is either 0 or a multiple of 11, then the original number is divisible by 11.
1 - 9 + 1 - 5 + 1 = -11
Since -11 is a multiple of 11, we can conclude that 19,151 is divisible by 11. Therefore, it is possible to evenly divide the employees into groups of 11.
To find out how many groups of 11 can be formed:
19,151 รท 11 = 1,741 with a remainder of 0
So there can be 1,741 groups of 11 employees formed, with no employees left over.
A government department has 19 151 employees. Is it possible to evenly divide the employees into groups of 11? Use divisibility rules to respond.
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