GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The number of distinct prime factors of 100,000
[#permalink]
12 Aug 2018, 16:01
12 Aug 2018, 16:01
4
Expert Reply
5
Bookmarks
00:00
Question Stats:
74% (00:46) correct
25% (00:35) wrong based on 124 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
The number of distinct prime factors of 100,000 |
The number of distinct prime factors of 99,000 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The number of distinct prime factors of 100,000
[#permalink]
15 Aug 2018, 23:22
15 Aug 2018, 23:22
Quantity A gives 2 distinct factors 2 and 5.
Quantity B gives 4 distinct factors 2, 3, 5, 11.
Hence B is greater.
Option B is the answer.
Quantity B gives 4 distinct factors 2, 3, 5, 11.
Hence B is greater.
Option B is the answer.
Re: The number of distinct prime factors of 100,000
[#permalink]
17 Aug 2018, 16:10
17 Aug 2018, 16:10
2
Expert Reply
Explanation
Since only the number of distinct prime factors matter, not what they are or how many times they are present, it is possible to tell on sight that Quantity A has only 2 distinct prime factors, because 100,000 is a power of 10. (Any prime tree for 10, 100, or 1,000, etc. will contain only the prime factors 2 and 5, occurring in pairs.)
In Quantity B, 99,000 breaks down as 99 × 1,000. Since 1,000 also contains 2’s and 5’s, and 99 contains even more factors (specifically 3, 3, and 11), Quantity B is greater. It is not necessary to make prime factor trees for each number.
Since only the number of distinct prime factors matter, not what they are or how many times they are present, it is possible to tell on sight that Quantity A has only 2 distinct prime factors, because 100,000 is a power of 10. (Any prime tree for 10, 100, or 1,000, etc. will contain only the prime factors 2 and 5, occurring in pairs.)
In Quantity B, 99,000 breaks down as 99 × 1,000. Since 1,000 also contains 2’s and 5’s, and 99 contains even more factors (specifically 3, 3, and 11), Quantity B is greater. It is not necessary to make prime factor trees for each number.
