2017 AMC 8 Problems/Problem 7
Contents
Problem 7
Let be a 6-digit positive integer, such as 247247, whose first three digits are the same as its last three digits taken in the same order. Which of the following numbers must also be a factor of
?
Solution 1
Let Clearly,
is divisible by
.
Solution 2
Let $Z = \overline{ABCABC}
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All AJHSME/AMC 8 Problems and Solutions |
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