Question

What is the greatest prime you must consider to test whether 6971 is prime

Answer 1

Answer:

Greatest prime is 83 to test 6971 is prime.

Step-by-step explanation:

To find : What is the greatest prime you must consider to test whether 6971 is prime.

Solution :    

To determine whether it is prime or not we check it by taking the root and check the nearest prime factor of it

Step 1 - Take the square root of number 6971

$\sqrt{6971}=83.49$

Step 2- The last prime number before 83.49

Prime number is 83

Step 3 - Write all the prime number till 83 and if none of the digit divide 6971 then 6971 is prime.

So the only factors to check for 6971 are: 2, 3, 5, 7, 11, 13, 17, 19,, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83.

None of them divides the number

Therefore, 6971 is a prime number.

Greatest prime is 83 to test whether it is prime or not.