Using [generalized factorial(or multifactorial or k-torial)](https://en.wikipedia.org/wiki/Double_factorial#Generalizations) we obtain: 1: >! 100=11!!!!!!+11!!!!!!!+1 2: >! 100=22!!!!!!!!!!!!!!!!!!+(2+2)!/2 3: >! 100=((3!)!!)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!+3!-(3!+3!)/(3!) 4: >! 100=(4!)!!!!!!!!!!!!!!!!!!!!+4+(4-4)/4 5: >! 100=(5!!)!!!!!!!!!+5+5+5-5 6: >! 100=(6!!)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!+6-(6+6)6 7: >! 100=(7!!!)!!!!!!!!!!!!!!!!!!!!!!!!!+7!!!!!+(7+7)/7 8: >! 100=(8!!!!+8!!!!!!+(8+8)/8)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!