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No, not necessarily. 121 is a palindrome number with 3 digits (odd) and is divisible by 11. So this satisfies the premise, but 101, 111, 131, etc are not divisible by 11.
An example which satisfies the premise does not prove it true, but one which contradicts the premise is enough to prove it false.
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Is 21837 divisible by 6 and 9?
Nope - To be divisible by nine, the sum of the digits must also be divisible by 9 (the digits total 21). Additionally, since it's an odd number - it cannot be divided by 6 !
Divisibility rule for 16?
A number is a multiple of 16 is the last 4 digits are a multiple of 16 The 1,000s digit is even and the last 3 digits are a multiple of 16 The 1,000s digit is odd and the last 3 digits are 8 times an odd number
Which digit is not divisible by two?
odd digits such as 1,3,5,7, and 9.
Is 26871 divisible by 2?
No, 26871 is an odd number. No odd number is divisible by 2.
What odd number is divisible by an even number?
No odd numbers are divisible by even numbers.
