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K.1 Division facts up to 12

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What are division facts?

Division facts are basic math equations that show how numbers can be divided evenly. They are the opposite, or “inverse,” of multiplication facts.

Examples:
  • 12 ÷ 3 = 4
  • 18 ÷ 6 = 3
  • 24 ÷ 4 = 6
Note

Every division fact is related to a multiplication fact. For example, 12 ÷ 3 = 4 is connected to 3 × 4 = 12.

How to identify a division fact

A division fact has three parts: the dividend (the number being divided), the divisor (the number you divide by), and the quotient (the answer).

Steps:
  • Look at the full equation: 20 ÷ 5 = 4
  • Dividend: 20
  • Divisor: 5
  • Quotient: 4
Note

If you multiply the divisor by the quotient, you should always get back the dividend.

Division facts up to 12

Students should know the division facts where both the divisor and quotient are numbers up to 12. These facts are important for fluency in higher-level math.

Examples:
  • 12 ÷ 2 = 6
  • 15 ÷ 3 = 5
  • 36 ÷ 6 = 6
  • 48 ÷ 12 = 4
Note

Practice division facts just like multiplication facts. Knowing them quickly will make math easier in later grades.

Using multiplication to check division

You can always use multiplication to check if a division fact is correct. Multiply the quotient by the divisor, and it should equal the dividend.

Examples:
  • Check: 18 ÷ 3 = 6 → 6 × 3 = 18 ✔
  • Check: 30 ÷ 5 = 6 → 6 × 5 = 30 ✔
Note

If multiplication does not give back the dividend, the division answer is not correct. Always double-check.

Tips for mastering division facts

Knowing division facts by memory helps solve problems faster. You can use patterns and multiplication knowledge to help.

Helpful Tips:
  • Use multiplication tables to practice division facts.
  • Remember that any number divided by 1 is itself (example: 9 ÷ 1 = 9).
  • Any number divided by itself equals 1 (example: 7 ÷ 7 = 1).
  • Zero divided by any number is 0 (example: 0 ÷ 5 = 0).
Note

Division by zero is not possible. Always make sure the divisor is greater than zero.