Divisibility Rules in Action

  • 5th Grade
Reviewed by Cierra Henderson
Cierra Henderson, MBA |
K-12 Expert
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Quizzes Created: 8156 | Total Attempts: 9,588,805
| Attempts: 11 | Questions: 20 | Updated: Jan 21, 2026
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Question 1 / 20
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1) A number ends in 0. Which Rule Is True?

Explanation

If a number ends in 0, it is divisible by 10.

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About This Quiz
Divisibility Rules In Action - Quiz

Now put the rules to work! In this quiz, you’ll read little clues (like last digits, last two digits, or digit sums) and figure out which numbers are divisible by 2, 3, 4, 5, 6, 7, 8, 9, or 10—sometimes more than one at a time. We bring you real... see more“pattern puzzles” so you can choose the right rule, right away. Try it and see how the clues lead to the answer!
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2) A number ends in 25. Which is true?

Explanation

If a number ends in 25, it is divisible by 5 because it ends in 5.

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3) A number's last two digits are 32. Which is true?

Explanation

If the last two digits are 32, the number is divisible by 4 since 32 ÷ 4 = 8.

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4) A number is divisible by both 2 and 3. Which is true?

Explanation

A number divisible by both 2 and 3 is always divisible by 6.

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5) A number is divisible by both 2 and 5. Which is true?

Explanation

A number divisible by both 2 and 5 is divisible by 10.

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6) Which number is divisible by 7?

Explanation

56 is divisible by 7 because 7 × 8 = 56.

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7) Which number is divisible by 8?

Explanation

72 is divisible by 8 because 8 × 9 = 72.

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8) Which of these numbers is divisible by both 2 and 9?

Explanation

36 is divisible by both 2 (even) and 9 (3 + 6 = 9).

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9) Which number is divisible by 4 and 5?

Explanation

20 is divisible by both 4 and 5 (4 × 5 = 20).

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10) Which number is divisible by 3 and 10?

Explanation

30 is divisible by both 3 and 10 because 3 × 10 = 30.

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11) Which number is divisible by 2, 3, and 5?

Explanation

30 is divisible by 2, 3, and 5 since 30 ÷ 2 = 15, 30 ÷ 3 = 10, and 30 ÷ 5 = 6.

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12) Which number is divisible by 7 and 10?

Explanation

70 is divisible by both 7 and 10 because 7 × 10 = 70.

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13) Which number is divisible by 8 and 9?

Explanation

72 is divisible by both 8 and 9 because 8 × 9 = 72.

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14) Which number is divisible by 4, 6, and 12?

Explanation

24 is divisible by 4, 6, and 12 since it’s a common multiple of each.

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15) Which number is divisible by 2, 3, and 9?

Explanation

18 is divisible by 2, 3, and 9 (it’s even, and 1 + 8 = 9).

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16) A number's digits add to 18. Which rule is true?

Explanation

If the sum of a number’s digits is 18, it’s divisible by 9, since 18 is a multiple of 9.

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17) A number's digits add to 12. Which is true?

Explanation

If the digits add to 12, the number is divisible by 3 because 12 ÷ 3 = 4.

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18) Which number is divisible by 9 but not 3?

Explanation

A number cannot be divisible by 9 but not by 3 — divisibility by 9 always means divisibility by 3.

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19) Which number is divisible by all numbers from 2 to 10?

Explanation

2520 is divisible by all numbers from 2 to 10 because it is their least common multiple (LCM).

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20) Which number is divisible by both 5 and 9?

Explanation

45 is divisible by both 5 and 9 since it ends in 5 and 4 + 5 = 9.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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A number ends in 0. Which Rule Is True?
A number ends in 25. Which is true?
A number's last two digits are 32. Which is true?
A number is divisible by both 2 and 3. Which is true?
A number is divisible by both 2 and 5. Which is true?
Which number is divisible by 7?
Which number is divisible by 8?
Which of these numbers is divisible by both 2 and 9?
Which number is divisible by 4 and 5?
Which number is divisible by 3 and 10?
Which number is divisible by 2, 3, and 5?
Which number is divisible by 7 and 10?
Which number is divisible by 8 and 9?
Which number is divisible by 4, 6, and 12?
Which number is divisible by 2, 3, and 9?
A number's digits add to 18. Which rule is true?
A number's digits add to 12. Which is true?
Which number is divisible by 9 but not 3?
Which number is divisible by all numbers from 2 to 10?
Which number is divisible by both 5 and 9?
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