Express the prime factorization of the numbers (a) 596 (b) 240 in exponential form.

The prime factorization is expressing the given number as a product of prime numbers.

Answer: 596 = 2² × 149 and 240 = 2⁴ × 3 × 5

Let's find the prime factorization of the given numbers

Explanation:

In prime factorization, we express the given number as a product of its prime factors.

The prime factorization of 596 is 2 × 2 × 149 = 2² × 149

The prime factorization of 240 is 2 × 2 × 2 × 2 × 3 × 5 = 2⁴ × 3 × 5

Thus, prime factorization of the numbers in exponential form : 596 = 2² × 149 and 240 = 2⁴ × 3 × 5.