How to Teach Multiplication Facts: Strategies, Sequence and Games That Work

Why multiplication facts matter (and what "knowing" them means)

Multiplication facts are the 0–10 (or 0–12) products kids use in almost every later topic: division, fractions, area, long multiplication, ratios and algebra. A child who has to skip-count to find 6 × 8 burns working memory on that step and loses track of the bigger problem.

The Common Core standard many states use, 3.OA.C.7, asks students to "fluently multiply and divide within 100" and, by the end of 3rd grade, to "know from memory all products of two one-digit numbers." Notice two things. Division is included, so facts should be taught as fact families (6 × 8 = 48, 48 ÷ 8 = 6). And the standard lets kids reach memory through strategies and properties, not rote chanting.

"Knowing" a fact means your child can answer in about 2–3 seconds without counting. If they get the answer by a quick strategy ("6 × 8 is 5 eights plus one more eight, 48"), that's real progress. The strategy gets faster with use until it becomes recall.

Start with meaning: equal groups and arrays

Before any drill, make sure your child can see what multiplication is. Spend a few days on this, even if they've already met it at school.

• Equal groups: 4 bags with 3 apples each. Write it as 4 × 3 = 12, read as "4 groups of 3."
• Arrays: rows and columns of objects. Lay out 3 rows of 5 coins. Turn the paper sideways and it's 5 rows of 3. Same total. This is the commutative property (6 × 4 = 4 × 6), and it cuts the facts to learn nearly in half.
• Area: color a 3-by-5 rectangle on graph paper. Area models carry straight into 4th-grade multi-digit multiplication.
• Skip counting: count by 2s, 5s and 10s out loud. It's a bridge, not the destination.

Activity: array hunt. Find arrays around the house: egg cartons (2 × 6), muffin tins (3 × 4), window panes, a chessboard (8 × 8). Ask "how many rows, how many in each row, how many in all?" and write the fact both ways.

The best order to teach multiplication facts

Teach in strategy order, not table order. Each family below leans on one before it.

Why this order works: in a 0–10 table, 85 of the 121 cells use a 0, 1, 2, 5 or 10. Add the 9s and your child already knows about 80% of the chart. Use the turnaround rule and only 10 truly "new" facts remain after the squares: 3×4, 3×6, 3×7, 3×8, 4×6, 4×7, 4×8, 6×7, 6×8 and 7×8. That's a far less scary list than "twelve times tables."

Strategies by fact family, with worked examples

The 2s, 4s and 8s: doubling

Doubling is the most powerful chain. If your child can double numbers up to 50 in their head, they can do all three families.

• 2 × 9 = 18
• 4 × 9 = double 18 = 36
• 8 × 9 = double 36 = 72

Practice doubling separately for a week if it's shaky. Doubling 36 means double 30 (60) plus double 6 (12) = 72.

The 5s and 10s: place value

10 × 7 is 7 tens, which is 70. Half of that is 5 × 7 = 35. Kids who learn "just add a zero" without the tens idea get stuck later with decimals, so say "7 tens" out loud.

The 9s: one less group

9 × 6 means "10 sixes minus 1 six": 60 − 6 = 54. Two patterns help kids check: the tens digit is one less than the number you're multiplying (9 × 6 starts with 5), and the digits add to 9 (5 + 4). The finger trick works too, but the "10 groups minus one" strategy teaches the distributive property they'll need for algebra.

The 3s and 6s: build from known facts

• 3 × 7 = 2 × 7 + 7 = 14 + 7 = 21
• 6 × 7 = 5 × 7 + 7 = 35 + 7 = 42, or double 3 × 7 = double 21 = 42

This is exactly the distributive property in 3.OA.B.5 (the standard's own example splits 8 × 7 into 8 × 5 + 8 × 2 = 40 + 16 = 56). Kids don't need the term; they need the move.

The 7s: the last few

By now your child knows 7 × 0, 1, 2, 3, 4, 5, 6, 9 and 10 from other families. Only 7 × 7 (a square, 49) and 7 × 8 (56) are left. A rhyme helps some kids: "5, 6, 7, 8: 56 = 7 × 8."

Division facts: think multiplication

Teach division alongside each family. For 42 ÷ 6, ask "6 times what is 42?" Fact triangles (a triangle card with 6, 7 and 42) show all four related facts at once: 6 × 7, 7 × 6, 42 ÷ 6 and 42 ÷ 7.

A simple week-by-week plan

This plan assumes 10–15 minutes a day, four or five days a week. Move faster or slower based on your child, not the calendar.

Keep mixing old facts in. The What Works Clearinghouse guide on organizing study found moderate evidence that spacing practice over weeks and months helps learning stick, and strong evidence for short quizzes that bring kids back to key content. A two-minute mixed check of 10 facts does both.

Use the free printable multiplication chart as a reference and shade each fact as it's mastered. For focused practice on one family, print the 7 times table or 8 times table pages, and use multiplication worksheets for mixed review. The math worksheet generator can make a sheet of just the 10 hard facts.

Multiplication games that build recall

Games give kids many repetitions without the dread of a drill. Here are five that need almost nothing.

1. Multiplication War. Use a deck with face cards removed (or count them as 10). Each player flips two cards and multiplies. The bigger product wins all four cards. Limit the deck to 0–5 for beginners.
2. Roll and Build. Roll two dice: rows and columns. Draw the array on graph paper and write the fact inside. First to fill the page wins. This is close to youcubed's "How Close to 100?" game.
3. Fact Bingo. Make a 4×4 bingo card of products. Call out facts ("6 × 7") and players cover the answer.
4. Beat Your Own Score. Twenty mixed facts from one family on multiplication flash cards. Your child sorts them into "know it fast" and "need a strategy." The goal is to grow the fast pile, not to race a sibling.
5. Car Facts. Read a license plate's first two digits and multiply them. Great for 2-minute bursts.

If you want an app, pick one that teaches strategies and adapts to your child rather than only flashing facts at speed. Reflex Math uses short coaching on new fact families and then games until a daily "Green Light" turns on; home use runs $54.95 a year as of October 2026. XtraMath is free and takes about 10 minutes a day. DragonBox has a multiplication puzzle app built around visual models. More options are in our best math games for kids and best math apps for kids lists.

Timed tests: use carefully

Speed is part of fluency, but pressure can backfire. The What Works Clearinghouse guide for kids who struggle with math recommends "timed activities as one way to build fluency." Jo Boaler's youcubed group argues that high-pressure timed tests trigger anxiety in some kids and block recall of facts they know.

Both views fit a simple rule: time the practice, not the child's worth. Let your child race their own previous score on a small set of facts they've already learned. Skip public charts and whole-table speed tests until facts are mostly secure. Our math facts fluency guide covers the research in more detail.

When multiplication facts won't stick

Some kids work hard and still can't retain facts. Signs worth noticing:

• They still count on fingers for small addition facts like 6 + 3 in 3rd grade or later.
• They can recite a table in order but can't answer the same fact out of order.
• They forget facts from one week to the next despite daily practice.
• Math homework causes tears, stomachaches or refusals.

Try more concrete models first: base-ten blocks, arrays, a number line. Math-U-See teaches every fact with color-coded blocks, which helps many visual learners. If problems persist, talk to your child's teacher or pediatrician. Persistent trouble with number sense and facts can be a sign of a math learning disability; our dyscalculia guide explains the signs and how evaluations work.

Programs that help

• Reflex Math: adaptive fact-fluency games for grades 2–8, $54.95 a year for home use.
• XtraMath: free, 10 minutes a day, parent progress reports.
• DragonBox: puzzle apps that teach multiplication with visual models.
• Beast Academy: puzzle-rich curriculum that teaches the "why" behind facts, about $100 a year online.
• Math-U-See: block-based mastery curriculum that builds facts with manipulatives.

Save the ones you're considering to your wishlist. If your family uses a state ESA or scholarship, math programs like these are often eligible as curriculum; each program decides, so check scholarships for your state.