Skill: Recall multiplication facts for 3

Explanation and Free Practice Resources

Fluent recall of the 3s multiplication facts includes products for 3×03 \times 0 through 3×103 \times 10, their related equations with reversed factors, and interpretation through equal groups, arrays, or repeated addition. These facts reveal the sequence of multiples of 3 and support related division facts and later multi-digit multiplication; larger factors, generalized algebraic rules, and non-basic multiplication cases are not included.

Detailed Explanation: Recall multiplication facts for 3

To recall a multiplication fact for 33, think of equal groups of 3 or count by 3s:

3, 6, 9, 12, 15, 18, 21, 24, 27, 303,\ 6,\ 9,\ 12,\ 15,\ 18,\ 21,\ 24,\ 27,\ 30

These are the products of (3×1)(3 \times 1) through (3×10)(3 \times 10).

Example: Find (3×7)(3 \times 7)

  1. Think of 77 equal groups with 33 in each group.

  2. Count by 3 seven times:

3, 6, 9, 12, 15, 18, 21 3,\ 6,\ 9,\ 12,\ 15,\ 18,\ 21
  1. The seventh number is (21)(21), so:

3×7=21 3 \times 7 = 21

You can also show this with repeated addition:

3+3+3+3+3+3+3=213+3+3+3+3+3+3=21

The reversed multiplication fact has the same product:

7×3=217 \times 3=21

So, when you see a multiplication fact with 33, count by 3s or picture equal groups of 3.

Learn by doing: Recall multiplication facts for 3

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