Practice Divisibility Intuition in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Understanding when one whole number divides evenly into another, leaving no remainder—the foundation of factor and multiple relationships.
Can you share 12 cookies equally among 4 people? Yes, 3 each. 12 is divisible by 4.
Example 1
easyUse divisibility rules to determine whether 4{,}836 is divisible by 2, 3, 4, 6, and 9.
Example 2
mediumExplain why the divisibility rule for 3 works: a number is divisible by 3 if and only if the sum of its digits is divisible by 3.
Example 3
easyTest 7{,}215 for divisibility by 5, 9, and 10 using divisibility rules.
Example 4
mediumA number N leaves remainder 2 when divided by 5 and remainder 1 when divided by 3. What are the possible last digits of N, and is N divisible by 15?