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OlympiadBench / 1847 / Find all positive integers n for which all positive divisors of n can be put…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

answer type

Numerical

is multiple answer

false

language

English

question

Find all positive integers

n

for which all positive divisors of

n

can be put into the cells of a rectangular table under the following constraints: - each cell contains a distinct divisor; - the sums of all rows are equal; and - the sums of all columns are equal.

Plain-text mathematical notation (without MathML)

Find all positive integers n for which all positive divisors of n can be put into the cells of a rectangular table under the following constraints:

- each cell contains a distinct divisor;
- the sums of all rows are equal; and
- the sums of all columns are equal.

Original LaTeX notation

Find all positive integers $n$ for which all positive divisors of $n$ can be put into the cells of a rectangular table under the following constraints:

- each cell contains a distinct divisor;
- the sums of all rows are equal; and
- the sums of all columns are equal.

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 1847
task_id: 94f7a61b-2c46-52d6-8134-12a1ca8c0d50
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--1847
task_revision_id: 2
config / split: OE_TO_maths_en_COMP / train

Official source

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