Q1 of 124 Page 1

The exponent of 2 in the prime factorisation of 144, is

The prime factorization of 144 is as follows:

144 = 2 × 2 × 2 × 2 × 3 × 3

⇒ 144 = 2⁴ × 3²

We know that the exponent of a number a^m is m.

∴ The exponent of 2 in the prime factorization of 144 is 4.

If a and b are relatively prime numbers, then what is their LCM?

Two numbers have 12 as their HCF and 350 as their LCM (True/False).

The LCM of two numbers is 1200. Which of the following cannot be their HCF?

If n = 2³ × 3⁴ × 5⁴ × 7, then the number of consecutive zeros in n, where n is a natural number, is