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.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A number is said to be prime saturated if the product of all the diffe
[#permalink]
23 Dec 2022, 09:12
23 Dec 2022, 09:12
Expert Reply
00:00
Question Stats:
0% (00:00) correct
100% (02:01) wrong based on 4 sessions
Hide Show timer Statistics
A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
A. 99
B. 98
C. 97
D. 96
E. 95
A. 99
B. 98
C. 97
D. 96
E. 95
Re: A number is said to be prime saturated if the product of all the diffe
[#permalink]
27 Dec 2022, 01:19
27 Dec 2022, 01:19
1
Expert Reply
The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this.
Answer: D.
Or just make prime factorization of all numbers:
A. 99 = 3^2*11 --> 3*11=33>9;
B. 98 = 2*7^2 --> 2*7=14>9;
C. 97 = prime number>9;
D. 96 = 2^5*3 --> 2*3=6<9;
E. 95 = 5*19 --> 5*19=95>9.
Answer: D.
Or just make prime factorization of all numbers:
A. 99 = 3^2*11 --> 3*11=33>9;
B. 98 = 2*7^2 --> 2*7=14>9;
C. 97 = prime number>9;
D. 96 = 2^5*3 --> 2*3=6<9;
E. 95 = 5*19 --> 5*19=95>9.
gmatclubot
Re: A number is said to be prime saturated if the product of all the diffe [#permalink]
27 Dec 2022, 01:19
Moderators:
