Answer:
120
Step-by-step explanation:
The computation of the other integer is shown below:
The Factor of 48 is 2^4 × 3
Also the greatest common divisor is 24,
This results that the second number also contains the factors 2^3 and 3 but not a fourth 2.
Now when there is a division of 240 by 48 so the number comes is 5
Now the second number factors are 2^3 and 3 that represents that it is under the factors of 48 but the factor 5 would arise from the second number
So, the other number is 120
Answer:
120
Step-by-step explanation:
If you want the aops explanation:
The prime factorization of 48 is $2^4\cdot3$. Since the greatest common factor is 24, that means the other number also has the factors $2^3$ and 3 but not a fourth 2. When we divide 240 by 48, we get 5. The factors $2^3$ and 3 of the other number are covered by the factors of 48, but the factor 5 must come from the other number. So, the other number is $2^3\cdot3\cdot5=\boxed{120}$.
