Question
Download Solution PDFWhich of the following numbers will completely divide 412 + 413 + 414 + 415 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
412 + 413 + 414 + 415
Formula used:
Factor out the common term 412 from the expression.
Calculation:
412 + 413 + 414 + 415
⇒ 412 (1 + 4 + 42 + 43)
⇒ 412 (1 + 4 + 16 + 64)
⇒ 412 (85)
Now, we need to check which of the given options divides 85 completely.
85 = 5 × 17
Therefore, the number that completely divides 85 is 17.
∴ The correct answer is option (1).
Last updated on Jun 3, 2025
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