Published by:
CGP EDU Academic Team
Published on: August 13, 2026
N is a least natural number having 24 divisors. Then the number of ways N can be resolved into two factors is
Text Solution
Verified by ExpertsThe correct answer is:
A
N = 2 α .3 β 5 γ = 2 3 .3 2 .5
( α + 1) ( β + 1) ( γ + 1) = 4.3.2
N = 360 = 2 3 . 3 2 .5

──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let N = 24500, then find
(i)The number of ways by which N can be resolved into two factors.
(ii)The…
Find number of ways of selection of one or more letters from AAAABBCCCDEF
(i) there is no restricti…
Find number of ways of selection of atleast one vowel and atleast one consonant from the word TRIPLE
Find number of divisiors of 1980.
(i) How many of them are multiple of 11? find their sum
(ii) How …
The number of proper divisors of a p b q c r d s where a, b, c, d are primes & p, q, r, s - N, is
How many divisors of 21600 are divisible by 10 but not by 15?