Free Practice Question
PS · Problem Solving
705-805
Divisibility/Multiples/Factors
If is a factor of and is a positive integer, what is the maximum possible value of ?
Answer Choices
Correct answer marked belowA
197
B
97
C
95
49
Correct
E
8
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
has and .
Since we need four 2s for 48 to be able to divide (because ), the limiting power will be that of 2.…
Since we need four 2s for 48 to be able to divide (because ), the limiting power will be that of 2.…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
Sign in to join the discussion
No comments yet
Be the first to share your thoughts and help others understand it better.
Sign in to commentWhat this question tests
What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
705-805
Type
PS
Category