Download Divisibility fact: An integer is divisible by 9 if the su is divisible by 9.

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Transcript
Problem of the Week
Problem C
Palindrome Hunt
A palindrome is a word, phrase, number, or other sequence of characters which
reads the same backward or forward.
The number 9876789 is a seven-digit palindrome. Find all seven-digit
palindromes that satisfy each of the following conditions:
• four of the digits are different; and
• the number is divisible by 45; and
• the sum of the digits of the number is equal to 45.
The number 9876789 only satisfies the first condition.
Divisibility fact: An integer is divisible by 9 if the sum of the digits of the integer
is divisible by 9.
Strand
Number Sense and Numeration