1993 AMC 8 Problem 3

Attempt Problem 3 of the 1993 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1993 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

3.

Which of the following numbers has the largest prime factor?
3939
5151
7777
9191
121121
Answer: B
Concepts:prime factorizationprime
Small hint:
Factor each number completely into primes
Big hint:
Compare the largest prime in each factorization; note 51=3×1751 = 3 \times 17
Solution:
Factoring: 39=3×13,39 = 3 \times 13, 51=3×17,51 = 3 \times 17, 77=7×11,77 = 7 \times 11, 91=7×13,91 = 7 \times 13, and 121=11×11.121 = 11 \times 11.
The largest prime factor among these is 17,17, which is a factor of 51.51.
Thus, the correct answer is B .
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