Consider a 6-digit number of the form XYXYXY. The number is divisible by :
- A. 3 and 7 only
- B. 7 and 13 only
- C. 3, 13 and 37 only
- D. 3, 7, 13 and 37 ✓
Correct Answer: D. 3, 7, 13 and 37
Explanation
A number in the form XYXYXY can be written as XY \times 10101. Factoring 10101 yields 3 \times 7 \times 13 \times 37. Thus, it is perfectly divisible by 3, 7, 13, and 37.
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