1993 AMC 8 第 3 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

3.

下列哪个数的最大质因数最大?

Which of the following numbers has the largest prime factor?

3939

5151

7777

9191

121121

答案:B
知识点:质因数分解质数
难度评级:660
解答:

分解得:39=3×1339 = 3 \times 1351=3×1751 = 3 \times 1777=7×1177 = 7 \times 1191=7×1391 = 7 \times 13121=11×11121 = 11 \times 11

这些最大质因数中最大的是 1717,它是 5151 的因数。

所以正确答案是 B

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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