While exploring an ancient mountain temple, Emek and Tara discovered a hallway of stone gates, each marked with a different numerical code. An inscription explained that the gates had to be opened in order by recognizing divisibility relationships. The codes included values such as 126, 135, 154, and 231, and each gate responded only when its divisibility properties were identified correctly. Emek and Tara applied divisibility rules to determine the proper sequence and checked each decision before moving forward. The final gate slowly opened, revealing a hidden chamber containing a long-lost historical map that archaeologists had searched for for years.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Check the divisibility rules for each number.
One temple gate is marked with the code 126. Which statement about 126 is correct?
126 is divisible by 5.126 is divisible by 8.126 is divisible by 7.126 is divisible by 11.Correct! Since 126 ÷ 7 = 18, 126 is divisible by 7.
Apply the divisibility rules carefully to each option.
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Hint
Test each divisor using divisibility rules or short calculations.
The next stone gate is marked with 231. How many of the following numbers divide 231 exactly: 3, 7, 9, and 11?
Correct! Exactly three of the given numbers divide 231.
Check each divisor one at a time before counting.
Next🎉 Congrats! You got this question!
Hint
A number divisible by both 2 and 7 must be even and divisible by 7.
To open another gate, Emek and Tara need a number that is divisible by both 2 and 7. Which code should they choose?
135154231225Correct! 154 is even and 154 ÷ 7 = 22.
Look for a number that satisfies both divisibility conditions.
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🎉 Congrats! You finished this challenge set!
