Question

if (15)n where n is a natural number is divisible by 25. What is the least value of n​

Answer 1

Given :   15n   is divisible by 25   or 15ⁿ is divisible by 25

To find :  the least value of n

Solution:

15n   is divisible by 25

=> 15n/25  is an integer

= 3 * 5 * n / 25

= 3 * 5 * n / 5 * 5

= 3 * n / 5

To be an integer  n must be a multiple of 5

Hence Least Value on n = 5

n = 5

=> 15n/25 = 15 * 5 / 25  =  3

if Question is

15ⁿ is divisible by 25

15ⁿ/25

= (3 * 5)ⁿ/5* 5

= 3ⁿ * 5ⁿ / 5²

Least value on n Should be  2

Learn more:

Q6) Replace Z by any digit so that 123Z is divisible by2,3,5,6 and 10 ...

https://brainly.in/question/16001545

if 6pq5 is divisible by both 3 and 5 which of the following digits can ...

https://brainly.in/question/9431962

if n is sum of first 13986 prime numbers then n is always divisible by ...

https://brainly.in/question/2709354