Question

Four prime numbers are written in ascending order of their magnitudes. The product
of first three is 715 and that of last three is 2431. What is the largest given prime
number?​

Answer 1

Answer:

17

Step-by-step explanation:

let a<b<c<d are the primes

a×b×c = 715

b×c×d = 2431

now b×c×d/a×b×c = 2431/715

d/a = 11×13×17/5×11×13

d/a = 17/5

largest prime (d) = 17

smallest prime (a) = 5

Answer 2

Answer:

17

Step-by-step explanation:

let a‹b‹c‹d are the primes

a×b×c=715

b×c×d=243

now b× c ×d /a× b×c=2431/715

d/a=11×13×17×/5×11×13

d/a=17/5

largest prime(d)=17

smallest prime (a)=5