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How many positive two digit palindromes exist?

There are nine two-digit palindromes: 11, 22, 33, 44, 55, 66, 77, 88 and 99.


What digits are always the same in a 4-digit palindrome?

None. 1221 and 3443 are both 4-digit palindromes but no digit has remained the same between the two. First and fourth, second and third.


What is the largest two-digit prime number?

9797 is the largest two digit prime number.


What two-digit prime number has the sum of its digits that is not 7 but is a multiple of 7?

No two digit prime number exists that is a multiple of 7. All two digit numbers that are multiples of 7 are compositenumbers.


How many two digit prime numbers are there?

There are 21 two-digit prime numbers.


What is the product of the largest single-digit prime number and the largest two-digit prime numbers?

679 is the product of the largest single-digit prime number and the largest two-digit prime number.


What is the smallest two-digit prime number?

11 is the smallest two-digit prime number.


What is the first two digit prime number?

The first two-digit prime number is 11.


What is the greatest two-digit prime number?

The largest two-digit prime number is 97.


How many 4 digit palindromes are multiples of 9?

Nine. The sum of the digits must be a multiple of 9; because of the repeated digits, this is only possible if the first two digits add up to 9.


How many different three digit palindromes can you make using only the digits 1and 2?

There are two possible digits for the first and last digit, and two possible digits for the centre digit, making 2 × 2 = 4 possible 3 digit palindromes from the set {1, 2}, namely the set {111, 121, 212, 222}.


What is a two digit number that is a prime number and a factor of 100 and 1000?

The two-digit factors of 100 and 1000 are all composite.