Question

prove that every composite number can be written as the product of powers of Primes​

Answer 1

Answer:

composite number can be written as the product of the powers of prime because

composite number-4

prime number-2

Step-by-step explanation:

so composite number can be written as the power of prime

happy learning

Answer 2

Explanation

Take some composite numbers like 9 and 22 and 36

9 = 3 ×3

or, 9 = 3²

3 is a prime number, so 9 (composite number) can be expressed as a power of prime number (3).

For 22,

22 = 11 × 2

or, 22 = 11¹ × 2¹

11 and 22 are  prime numbers, so 22 (composite number) can be expressed as a power of prime number (11 and 2).

For 36,

36 = 6 × 6

or, 32 = 3 × 2 × 3 × 2

or, 32 = 3² × 2²

3 and 2 are  prime numbers, so 36 (composite number) can be expressed as a power of prime number (3and 2).

Therefore, the statement, every composite number can be written as the product of powers of Primes​, is true.