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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.

Grade
4th Grade
Ages
Ages 9-10
Subject
Math
Format
Printable PDF

Ratings & Reviews

3

Priya N.

Kindergarten Teacher · Verified download

Apr 2026

This is going straight into my lesson plans the second it drops. Please prioritize this one!

Helpful · 13

Emily W.

Homeschool parent · Verified download

May 2026

Excited for this one! I've been hunting for a good printable on this topic for weeks.

Helpful · 9

Rachel H.

Homeschool parent · Verified download

Apr 2026

We've been waiting for this topic. Signed up just to get notified when it's ready.

Helpful · 6

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