These Class 5 divisibility rules worksheets make it incredibly simple and fun for children to understand whether a number is divisible by another. Students will learn the divisibility laws from two to ten using simple shortcuts and strategies with plenty of practice and clear explanations. Without actually dividing, they will discover how to rapidly determine whether a number is divisible by 3, 4, 5, 6, 9, or even 10! These worksheets reinforce each rule with fill-in-the-blank questions, true-false exercises, and real-world word problems. These printables are intended to improve confidence and number sense, whether it is by determining which numbers may be divided without remainders or by using divisibility laws.
Download Free Maths Class 5 Divisibility Rule Worksheets with Answers
๐ Class 5 Maths Worksheet: Divisibility Rule ๐
๐ซ Class 5 Worksheet | Free Printable Worksheets
๐ฉโ๐ซ Name: _______โโ๐ Date: ______
๐งฉ Divisibility Rule
- Check the divisibility rule by following questions
- Q1)- Is the number 3075 divisible by 5? Explain the reason?
- Q2)- Can the number 135 be divided by 3 without a remainder?
- Q3)- Can 1020 be divided by 10 without any remainder?
- Q4)- Check if 573 is divisible by 9?
- Q5)- Determine if 1248 is divisible by 4?
- Q6)- Is the number 81 divisible by 3 and 9?
- Q7)- Is 123456 divisible by 11?
- Q8)- Can 987654 be divided by 9 without any remainder?
- Q9)- Is 468 divisible by 2, 3, and 6?
- Q10)- Check if 324 is divisible by 8?
- Q11)- Replace the * by the smallest number so that2*345 may be divisible by 3
- Q12)- Replace the * by the smallest number so that78*964 may be divisible by 9
- Q13)- Check if 19440 is divisible by 18?
Answers
Divisibility Rules
- 1) Yes, 3075 is divisible by 5. A number is divisible by 5 if its last digit is either 0 or 5. Since the last digit of 3075 is 5, it is divisible by 5.
- 2) Yes, 135 can be divided by 3 without a remainder. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 135 is 1+3+5 = 9, and 9 is divisible by 3.
- 3) Yes, 1020 can be divided by 10 without any remainder. A number is divisible by 10 if its last digit is 0. Since the last digit of 1020 is 0, it is divisible by 10.
- 4) No, 573 is not divisible by 9. A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of 573 is 5+7+3=15, and 15 is not divisible by 9.
- 5) Yes, 1248 is divisible by 4. A number is divisible by 4 if the number formed by its last two digits is divisible by 4. The last two digits of 1248 are 48, and 48 is divisible by 4.
- 6) Yes, 81 is divisible by both 3 and 9. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 81 is 8+1=9, and 9 is divisible by 3. Additionally, a number is divisible by 9 if the sum of its digits is divisible by 9, and since the sum is 9, it is also divisible by 9.
- 7) No, 123456 is not divisible by 11.
- 8) Yes, 987654 can be divided by 9 without any remainder. A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of 987654 is 9+8+7+6+4=39, and 39 is divisible by 9.
- 9) Yes, 468 is divisible by 2, 3, and 6.
a) A number is divisible by 2 if its last digit is even, and the last digit of 468 is 8, which is even.
b)A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 468 is 4+6+8=18 and 18 is divisible by 3.
c)A number is divisible by 6 if it is divisible by both 2 and 3. Since 468 meets both criteria, it is divisible by 6. - 10) Yes, 324 is divisible by 8. A number is divisible by 8 if the number formed by its last three digits is divisible by 8. Since 324 is less than 1000, we can check the entire number. 324+8=40.5, 324รท8=40.5, which is not an integer, so it is not divisible by 8.
- 11) * is replaced by 1, so 21345 is divisible by 3.
- 12) The smallest number * is 2, so 782964 is divisible by 9.
- 13) Yes, 19440 is divisible by 18. A number is divisible by 18 if it is divisible by both 2 and 9.