According to the divisibility rule of 3, if the sum of the digits of a number is divisible by three the number is also divisible by 3. Now 991 and 997 are primes. Out of the two options, 997 is the larger one, so it is the largest prime among the options.
How do you know if a 3-digit number is prime?
If the given 3-digit number is divisible by any other number except itself and 1, then it is not a prime number. The greatest 3-digit number is 999, and the greatest 3-digit number which is a prime number is 997.
What is the smallest 3-digit number?
100
100 is the smallest 3-digit number and 999 is the greatest 3-digit number.
Which is the biggest 3-digit number?
999
Which is the greatest 2 digit prime number?
97
97 is: the 25th prime number (the largest two-digit prime number in base 10), following 89 and preceding 101.
How many 2 digit numbers have exactly 3 factors?
This is because a number will have three factor if and only if the number is a square of a prime number. So 25 and 49 are the only two digit numbers with exactly three factors.
Is the number 9 a prime number or multiple?
For 9, the answer is: No, 9 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 9) is as follows: 1, 3, 9. To be 9 a prime number, it would have been required that 9 has only two divisors, i.e., itself and 1. As a consequence: 9 is a multiple of 1.
How many factors does a prime number have?
Usually any number has 2 factors ie., 1 and itself and we know that the factors exist in pairs. So for a number, to have 3 factors it should be perfect square of a prime number. We have got 7 such 3 digit numbers.
Which is an even number with the prime factor 2?
A k – almost prime (for a natural number k) has Ω ( n) = k (so it is composite if k > 1). An even number has the prime factor 2. The first: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 (sequence A005843 in the OEIS ). An odd number does not have the prime factor 2. The first: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 (sequence A005408 in the OEIS ).
