self Maths Puzzle Numerical Ability Number System

Let M be the set of all the distinct factors of the number N=65×52×10,Which are perfect squares. Find the product of the elements contained in the set M. ?

Read Solution (Total 1)

N = 65×52×10 = 26×35×53
Even powers of 2 available: 20,22,24,26
Even powers of 3 available: 30,32,34
Even powers of 5 available: 50,52
Therefore number of factors of the number N that are perfect squares = 4 x 3 x 2 = 24
Product of the elements contained in M
= 2(2+4+6)×6×3(2+4)×8×52×12=272×348×524
9 years agoHelpfull: Yes(0) No(4)

self Other Question

. P is the product of all the factors of 15552. If P = 12N×M, where M is not a multiple of 12, then find the value of M. [M and N are positive Integers]? What is the product of all factors of the number N = 64×102 which are divisible by 5?