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2021 AMC 10B Problem 16

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2021 AMC 10B Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Divisibility & Factors · difficulty 3 of 5 · about 4 min · position P16-20

Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. For example, $1357$ , $89$ , and $5$ are all uphill integers, but $32$ , $1240$ , and $466$ are not. How many uphill integers are divisible by $15$ ?

A)
$4$
B)
$5$
C)
$6$
D)
$7$
E)
$8$

2021 AMC 10B Problem 16

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