Divisibility rules
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Free printable divisibility rules worksheets for 4th grade. Students learn and apply the divisibility rules for 2, 3, 5, 9, and 10 to quickly determine whether one number is divisible by another without long division. These worksheets build mental math efficiency and support factor-finding and fraction work. Part of our factoring worksheets collection.
What You'll Learn
- Apply divisibility rules for 2, 3, 5, 9, and 10
- Determine if a number is divisible without performing full division
- Use divisibility shortcuts to identify factors quickly
FAQ
What are the key divisibility rules 4th graders should memorize?⌄
A number is divisible by 2 if it ends in an even digit, by 5 if it ends in 0 or 5, by 10 if it ends in 0, by 3 if its digit sum is divisible by 3, and by 9 if its digit sum is divisible by 9.
How do divisibility rules speed up finding factors?⌄
By quickly testing divisibility rules instead of performing full division, students can rapidly eliminate or confirm potential factors, making factor-finding much more efficient.
Can students combine divisibility rules to test for larger divisors like 6 or 15?⌄
Yes — 6 requires a number to pass both the rule for 2 and the rule for 3, while 15 requires passing both the rule for 3 and the rule for 5, showing how rules can be combined.
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