# CAT Quantitative Aptitude Questions | CAT Number Systems - Factorial questions

###### CAT Questions | Number Theory | Factorials - basic
CAT Questions

The question is about basic factorial. We need to find out the possible values of 'n', when n! is a multiple of ax but not bx. Dealing with factorials of a number is a vital component in CAT Number Theory. Dealing with factorials of a number is a vital component in CAT Number Theory in the CAT Exam. A range of CAT questions can be asked based on this simple concept in the CAT exam. Factorials are also useful in Permutation Combination questions in CAT. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz,head on here to take these questions in a test format, absolutely free.

Question 4: How many values can natural number n take, if n! is a multiple of 220 but not 320?

1. 11
2. 21
3. 16
4. 5