Multiple choice

the HCF of two number is $48$. the product of the numbers can be ____

  1. $3200$
  2. $2400$
  3. $48$
  4. $4608$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The product of two numbers must be a multiple of the square of their HCF if the numbers are coprime multiples of the HCF. More simply, the product must be divisible by HCF^2 = 48^2 = 2304. 4608 / 2304 = 2, which is possible.

AI explanation

If the HCF of two numbers is 48, both numbers must be multiples of 48, meaning their product must also be a multiple of 48. Checking the options by dividing each by 48, only 4608 yields a whole number quotient of 96. Therefore, the product can be 4608.

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