Question

Determine the largest prime number that you need to test as a divisor to check whether or not 397 is a prime number​

Answer 1

Answer:

397 is prime number and 19 is the largest prime number for the number 397

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Answer 2

Answer:

397 is prime number and 19 is the largest prime for the number 397.

Step-by-step explanation:

Lets test with 7, 11, 13, 17, 19 as divisor for 397

397 is not divisible by 7 as 397÷7= 56 is quotient and 5 is reminder

397 is not divisible by 11 as 397÷11 =36 is quotient and 1 is reminder

397 is not divisible by 13 as 397÷13=30 is quotient and 7 is reminder

397 is not divisible by 17 as 397÷17=23 is quotient and 6 is reminder

397 is not divisible by 19 as 397÷19=20 is quotient and 17 is reminder

Here we do not take 23 as divisor because the reminder 20 when 397 is divided by 19 and that is less than 23 .

so 397 is prime number and 19 is the largest prime for the number 397.