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2018 AMC 10B Problem 21

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2018 AMC 10B Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Divisibility & Factors · difficulty 4 of 5 · about 6 min · position P21-25

Mary chose an even $4$ -digit number $n$ . She wrote down all the divisors of $n$ in increasing order from left to right: $1,2,\ldots,\dfrac{n}{2},n$ . At some moment Mary wrote $323$ as a divisor of $n$ . What is the smallest possible value of the next divisor written to the right of $323$ ?

A)
$324$
B)
$330$
C)
$340$
D)
$361$
E)
$646$

2018 AMC 10B Problem 21

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