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MATH / Let r be the remainder when 1342 is divided by 13.

Problem

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problem

Let rr be the remainder when 13421342 is divided by 1313. Determine the smallest positive integer that has these two properties: $\bullet~$ It is a multiple of 13421342. $\bullet~$ Its remainder upon being divided by 1313 is smaller than rr.
Plain-text mathematical notation (without MathML)
Let r be the remainder when 1342 is divided by 13.

Determine the smallest positive integer that has these two properties:

$\bullet~$ It is a multiple of 1342.

$\bullet~$ Its remainder upon being divided by 13 is smaller than r.
Original LaTeX notation
Let $r$ be the remainder when $1342$ is divided by $13$.

Determine the smallest positive integer that has these two properties:

$\bullet~$ It is a multiple of $1342$.

$\bullet~$ Its remainder upon being divided by $13$ is smaller than $r$.

level

Level 3

type

Number Theory

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Source and history

task_id
3b013d82-f5dd-5e8a-97e7-4e47349b5096
task_key
number~5ftheory--test--3b013d82-f5dd-5e8a-97e7-4e47349b5096
task_revision_id
1
config / split
number_theory / test

Official source

initial import