Question

数 $6545$ 可以写成一对正的两位数的乘积。这一对数的和是多少？

The number $6545$ can be written as a product of a pair of positive two-digit numbers. What is the sum of this pair of numbers?

$162$

$172$

$173$

$174$

$222$

答案：A

知识点：质因数分解因数

难度评级：1170

解答：

质因数分解为 $6545 = 5 \times 7 \times 11 \times 17$ 。要分成两个两位因数，可以配为 $5 \times 17 = 85$ 和 $7 \times 11 = 77$ 。

这是唯一的两位数配对，它们的和是 $85 + 77 = 162$ 。

所以正确答案是 A。

The prime factorization is $6545 = 5 \times 7 \times 11 \times 17.$ To split into two two-digit factors, pair the primes: $5 \times 17 = 85$ and $7 \times 11 = 77.$

These are the only two-digit pair, and their sum is $85 + 77 = 162.$

Thus, the correct answer is A .

1995 AMC 8 第 22 题

答案：A

难度评级：1170

解答：

其他年份的第 22 题