Total number of factors of a number Can you please explain how can we derive the total number of factors of a composite number using the concept of combinations ? Thanks in advance !

By the fundamental theorem of arithmetic, every natural is the product of primes with a certain multiplicity.
Then every factor of the initial number is a product of the same primes with a (possibly) lower multiplicity.
Hence you need to form all combinations of the possible multiplicities.

$$360=2^33^25^1\to000,100,200,300,010,110,210,310,020,120,220,320,001,101,201,301,011,111,211,311,021,121,221,321$$
$(3+1)\cdot(2+1)\cdot(1+1)$ of them.
