Question

the two positive numbers has their HCF 12 and the product is 6336. The number of pairs possible for this number is. ​

Please answer in step-by-step..

Answer 1

Answer:

The number of pairs possible for the numbers = 2

Step-by-step explanation:

Let the two numbers = 12x and 12y

Where, x and y are co-primes.

To find, the number of pairs possible for the numbers = ?

∴ Product of the numbers = (12x)(12y) = 144xy

⇒ 144xy = 6336

⇒ xy =

⇒ xy = 44

The 44 can be written as product of two factors

= 1 × 44, 2 × 22, 4 × 11

x and y are relatively prime, (x, y) can be (1, 44) or (4, 11).

(2, 22) is not the prime number.

Hence, the number of pairs possible for the numbers = 2