Divisibility Rules in Action

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| By Thames
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Thames
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Quizzes Created: 7060 | Total Attempts: 9,520,935
| Questions: 20 | Updated: Oct 24, 2025
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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! see less

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2) 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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3) 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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4) 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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5) 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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6) 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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7) 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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8) Which number is divisible by 7?

Explanation

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

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9) Which number is divisible by 8?

Explanation

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

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10) 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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11) 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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12) Which number is divisible by 4 and 5?

Explanation

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

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13) 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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14) 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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15) 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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16) 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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17) 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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18) 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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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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A number ends in 0. Which Rule Is True?
A number's digits add to 18. 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?
A number's digits add to 12. Which is true?
Which number is divisible by 7?
Which number is divisible by 8?
Which number is divisible by 9 but not 3?
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?
Which number is divisible by all numbers from 2 to 10?
Which number is divisible by both 5 and 9?
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