Let p be a prime number and a be a positive integer. If p divides `a^2`; then p divides a.

Theorem 1.3 : Let p be a prime number. If p divides a^2 , then p divides a, where a is a positive integer.

Theorem 1.3 : Let p be a prime number. If p divides a2 , then p divides a, where a is a positive integer.

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is

If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q is r^2t^4s^2 , then find the number of ordered pair (p,q).

p is a prime number and n

The contra-positive of the statement, "If x is a prime number and x divides ab then x divides a or x divides b", can be symbolically represented using logical connec- tives, on appropriately defined statements p, q, r, s, as

Let p be a prime number such that 3