Three Digit Palindromes
What is the smallest three digit palindrome divisible by 18? Can you solve this without a brute force examination of possibilities?
Communicated by Tom Chiari.
What is the smallest three digit palindrome divisible by 18? Can you solve this without a brute force examination of possibilities?
Communicated by Tom Chiari.
while 666 works, something smaller works as well…. //s
Rob: correct, well done! Not posting as it’s the soln.
no a smaller works. //s (email me at [email protected] for the soln)
Is the answer 090? If not, may I have the correct answer? thank you!
people typically don’t consider that a 3 digit number, so look a bit higher (you’re on the right track)….
Ah, nice thinking! We want the smallest positive one…. :]
Still trying to figure out how 333 works … unless we’re using some unconventional definition of “divisible by” or “18” …
not sure where you’re getting 333 from — that’s not the answer. //s
Does the three digit number’s product have to be 18 and a whole number?
it has to be an integer, yes. not sure what you mean by product; the number must be a palindrome and a multiple of 18.
Can you please email the answer?i like to be ur fb frnd.pls give me ur fb id
I’m removing your post as you have the correct answer, but yes, please use in your math class and let me know how it goes (sjm1 AT williams.edu). I’m happy to have your students, if they do well, appear in the hall of fame.
Ravi: yes — please email at sjm1 AT williams.edu as I don’t like to post answers
you might want to consider adding the demand that the outcome is a natural number as well… in it’s current form, the correct answer is 101 🙂
(101 / 18 = 5 11/18 tadaa 😉 )
Thanks — normally the word divisible implies no remainder. /s
It’s 101 because it says divisible, but not that it has to be an integer
PS I’m a child
It’s 101 because it says divisible but not that it has to be an integer.
nice, but there is a solution when you interpret it the way most children would, namely divisible means it goes in a whole number of times and
leaves a remainder of zero.
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