Question

27. If n is any prime number and a2 is divisible by n, then n will also divide a. Justify.

Answer 1

Heya!

Here is yr answer.....


'n' is a prime no. If n divides a² then n also divides a.


Let... n = 3 , a = 9

a² = 9²

a² = 81

Here , 81/3 = 27

n divides a²

Now, 9/3 = 3

Here, n also divides a


Hope it hlpz..

Answer 2

Answer:

The correct answer is 3.

Step-by-step explanation:

A prime number exists as a natural number greater than 1 whose only factors are 1 and itself. A factor exists as a real number that can be split evenly into another number. The first few prime numbers exist 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Numbers that contain more than two elements exist named composite numbers.

Given:

If n is any prime number and a² is divisible by n, then n will also divide a.

Consider that 'n' exists as a prime number.

If n divides a² then n also divides a.

Let, n = 3 and a = 9

a² = 9²

a² = 81

Here , 81/3 = 27

n divides a²

Now, 9/3 = 3

Here, n also divides a.

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