Divisibility by 2

Check the divisibility of 226180 by 2, 3, 5.

If a number is divisible by 2 and 3, then it is also divisible by 6.

Prove that 33! is divisible by 2^(15). what is the largest integer n such that 33! is divisible by 2^(n).

Show that 27! Is divisible by 2^12 . What is the largest natural number n such that 27 ! Is divisible by 2^n ?

Prove that 33! Is divisible by 2^(19) and what is the largest integer n such that 33! Is divisible by 2^(n) ?

Which of the following numbers are divisible by 2

Let p be the statement "x is divisible b, 4" and q be the statement "x is divisible by 2". STATEMENT-1 : p hArr q and STATEMENT-2 : If x is divisible by 4, it must be divisible by 2 .

A book contains 32 pages. A page is chosen at random. What is the probability that the sum of the digits on the page is : (i) divisible by 2 (ii) divisible by 3. (iii) divisible by 5 (iv) divisible by 2 or 3 or 5 (v) divisible by 2, 3 and 5 ?