Multiple choice general knowledge math & puzzles

Is 143143143143 divisble by 11?

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To test divisibility by 11, calculate the alternating sum of digits: (1-4+3-1+4-3+1-4+3-1+4-3) = 0. Since the result is 0 (a multiple of 11), the number is divisible by 11. The pattern 143 repeats, and 143 itself equals 11×13, making any repetition divisible by 11.

AI explanation

To determine if a number is divisible by 11, we can use the divisibility rule for 11.

The divisibility rule for 11 states that a number is divisible by 11 if the difference between the sum of its digits at odd positions and the sum of its digits at even positions is either 0 or a multiple of 11.

Let's apply this rule to the number 143143143143:

Sum of digits at odd positions: 1 + 3 + 4 + 1 + 4 + 3 = 16 Sum of digits at even positions: 4 + 1 + 3 + 4 + 3 + 1 = 16

The difference between the sum of digits at odd positions and the sum of digits at even positions is 16 - 16 = 0.

Since the difference is 0, the number 143143143143 is divisible by 11.

Therefore, the correct answer is A) True.

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