Real Numbers & Fundamental Theorem of Arithmetic

The Fundamental Theorem of Arithmetic states that every composite number can be uniquely expressed as a product of:

If HCF(a, b) = 12 and a x b = 1800, what is LCM(a, b)?

Is $\sqrt{5}$ a rational or irrational number?

The decimal expansion of 13 / 125 will terminate after how many decimal places?

The exponent of 2 in prime factorization of 144 is:

The HCF of smallest composite number and smallest prime number is:

If p and q are co-prime positive integers, then HCF(p, q) is:

The product of a non-zero rational number and an irrational number is always:

What is the sum of exponents of prime factors in prime factorization of 196?

Find HCF of 96 and 404 using prime factorization.