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.

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3.

Which of the following numbers has the largest prime factor?

3939

5151

7777

9191

121121

Answer: B
Concepts:prime factorizationprime

Difficulty rating: 660

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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