Question

Test the divisibility of the following numbers by 11 26972

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Answer 1

Yes, the number 25,972 is divisible by 11, here’s how we find out.

Explanation:

To test the divisibility of a number by 11, you can use the alternating sum method. In this method, you subtract the sum of the digits in odd positions from the sum of the digits in even positions. If the result is divisible by 11 (including 0), then the original number is also divisible by 11. For the number 26972: Sum of digits in odd positions = 2 + 9 + 2 = 13

Sum of digits in even positions = 6 + 7 = 13

Alternating sum = Sum of digits in even positions - Sum of digits in odd positions = 13 - 13 = 0

Since the alternating sum is 0, which is divisible by 11, the number 26972 is also divisible by 11.

Therefore, 26972 is divisible by 11.