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Omni-MATH / For positive integers n, let L(n) be the largest factor of n other than n itself. Determine the number of ordered pairs of composite positive integers (m,n) for which L(m)L(n)=80.

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problem

For positive integers nn, let L(n)L(n) be the largest factor of nn other than nn itself. Determine the number of ordered pairs of composite positive integers (m,n)(m, n) for which L(m)L(n)=80L(m) L(n)=80.
Plain-text mathematical notation (without MathML)
For positive integers n, let L(n) be the largest factor of n other than n itself. Determine the number of ordered pairs of composite positive integers (m,n) for which L(m)L(n)=80.
Original LaTeX notation
For positive integers $n$, let $L(n)$ be the largest factor of $n$ other than $n$ itself. Determine the number of ordered pairs of composite positive integers $(m, n)$ for which $L(m) L(n)=80$.

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Source and history

task_id
3658cd75-38f5-5bd1-9133-be0b80d0b3dd
task_key
test--3658cd75-38f5-5bd1-9133-be0b80d0b3dd
task_revision_id
1
config / split
/ test

Official source

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