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Omni-MATH / Find the number of ordered quadruples of positive integers (a,b,c,d) such that a,b,c, and d are all (not necessarily distinct) factors of 30 and abcd>900.

Problem

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problem

Find the number of ordered quadruples of positive integers (a,b,c,d)(a, b, c, d) such that a,b,ca, b, c, and dd are all (not necessarily distinct) factors of 30 and abcd>900abcd>900.
Plain-text mathematical notation (without MathML)
Find the number of ordered quadruples of positive integers (a,b,c,d) such that a,b,c, and d are all (not necessarily distinct) factors of 30 and abcd>900.
Original LaTeX notation
Find the number of ordered quadruples of positive integers $(a, b, c, d)$ such that $a, b, c$, and $d$ are all (not necessarily distinct) factors of 30 and $abcd>900$.

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Source and history

task_id
849555b4-e7ab-5977-b8cd-46543c9df78b
task_key
test--849555b4-e7ab-5977-b8cd-46543c9df78b
task_revision_id
1
config / split
/ test

Official source

initial import