Show me a random puzzle
 Most recent collections 


mean scales factorials differentiation dice shapes speed quadratics sport trigonometry regular shapes bases colouring star numbers 3d shapes shape unit fractions sums percentages people maths multiples sequences grids cryptic clues probabilty chocolate area perfect numbers odd numbers algebra digits triangles arrows rectangles dates cryptic crossnumbers addition fractions rugby planes square roots surds polygons volume advent number symmetry clocks christmas averages probability cube numbers spheres floors sum to infinity circles crosswords parabolas means angles prime numbers time integration logic numbers balancing irreducible numbers calculus proportion 2d shapes division palindromes partitions perimeter books coins folding tube maps coordinates ellipses geometry cards complex numbers indices hexagons functions chess pascal's triangle squares crossnumbers factors chalkdust crossnumber graphs taxicab geometry triangle numbers remainders wordplay routes integers doubling money lines menace ave square numbers dodecagons games multiplication


Show me a random puzzle
▼ show ▼

Square factorials

Source: Woody at Maths Jam
Multiply together the first 100 factorials:
Find a number, \(n\), such that dividing this product by \(n!\) produces a square number.

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths LVII,
puzzles about square numbers, or a random puzzle.
© Matthew Scroggs 2019