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Joined: 19 Nov 2020
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GRE 1: Q160 V152
For what value of x the function f(x) defined ...
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Updated on: 29 Jul 2021, 06:52
Updated on: 29 Jul 2021, 06:52
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For what value of x the function f(x) defined as f(x)=2x has twice as many factors as x has factors?
(A) 224
(B) 226
(C) 228
(D) 229
(E) 230
(A) 224
(B) 226
(C) 228
(D) 229
(E) 230
Originally posted by motion2020 on 28 Jul 2021, 14:56.
Last edited by motion2020 on 29 Jul 2021, 06:52, edited 1 time in total.
Last edited by motion2020 on 29 Jul 2021, 06:52, edited 1 time in total.
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For what value of x the function f(x) defined ...
[#permalink]
07 Dec 2024, 05:08
07 Dec 2024, 05:08
1
For what value of x the function f(x) defined as f(x)=2x has twice as many factors as x has factors
Now, this will be true when x is a prime number.
Lets take an example to understand this
If x = 3, then 2x = 6
Factors of 3 = 1 and 3
Factors of 6 = 1, 2, 3, and 6
Only prime number is the option choice is 229. How to check if its prime?
Divide 229 by all prime numbers from 2 to \(\sqrt{229}\) ~ 15 (As \(15^2\)= 225)
Check this video to MASTER Prime Numbers!
So, Answer will be D
Hope it helps!
Watch the following video to MASTER Functions and Custom Characters
Now, this will be true when x is a prime number.
Lets take an example to understand this
If x = 3, then 2x = 6
Factors of 3 = 1 and 3
Factors of 6 = 1, 2, 3, and 6
Only prime number is the option choice is 229. How to check if its prime?
Divide 229 by all prime numbers from 2 to \(\sqrt{229}\) ~ 15 (As \(15^2\)= 225)
Check this video to MASTER Prime Numbers!
So, Answer will be D
Hope it helps!
Watch the following video to MASTER Functions and Custom Characters
