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Multiplication Tables for Kids: The Right Order to Learn Them

By Alex

Software Engineer Β· Father of twoΒ·Β·6 min read

Almost every child learns their multiplication tables in order: Γ—1, Γ—2, Γ—3 all the way to Γ—10 or Γ—12. It feels logical. But it's not optimal. Some tables are dramatically easier than others β€” and learning the hard ones first (Γ—7, Γ—8) before the easy ones creates early frustration that makes the whole project feel impossible. Here's the research-backed order that makes learning times tables faster, with less stress.

Multiplication Tables for Kids: The Right Order to Learn Them

1Why the learning order matters more than you think

A child who starts with Γ—3 or Γ—7 immediately hits real difficulty. They accumulate failures, lose confidence, and develop the math anxiety that can persist for years. Conversely, starting with the "easy" tables creates quick wins that build momentum and confidence for tackling the harder ones.

There's also a mathematical logic to the order: the tables are connected. Knowing Γ—2 makes Γ—4 much easier (double of double). Knowing Γ—5 illuminates Γ—10. Knowing Γ—3 provides a stepping stone to Γ—6 and Γ—9. The optimal order exploits these natural connections.

2The optimal learning sequence

Here's the order recommended by math education researchers, with estimated time per table for a child in Grade 2-3 working 5 minutes per day:

  • βœ“Γ—1 and Γ—10 β€” Week 1 (trivial, serve as anchors)
  • βœ“Γ—2 β€” Week 1 (doubling, often already known)
  • βœ“Γ—5 β€” Week 2 (always end in 0 or 5 β€” highly patterned)
  • βœ“Γ—4 β€” Week 3 (double of Γ—2)
  • βœ“Γ—3 β€” Week 4 (foundation for Γ—6 and Γ—9)
  • βœ“Γ—6 β€” Week 5 (double of Γ—3)
  • βœ“Γ—9 β€” Week 6 (finger trick or digit-sum rule)
  • βœ“Γ—7 β€” Week 7 (hardest β€” save for last)
  • βœ“Γ—8 β€” Week 8 (double of Γ—4, but large products are tricky)

The Γ—7 table is the hardest because it has no simple pattern or trick. Budget twice the time and use spaced repetition heavily.

3The "derived facts" method: 4 facts for the price of 1

Most children learn 100 multiplication facts (10 tables Γ— 10 results). But thanks to the commutative property (7Γ—8 = 8Γ—7) and the multiplication-division relationship, each fact learned generates three others for free.

Example: learning 7Γ—8=56 immediately gives you 8Γ—7=56, 56Γ·7=8, and 56Γ·8=7. In reality there are only 55 unique facts to learn (not 100), and about half are easy. This realization often changes everything for children who feel overwhelmed β€” the task suddenly feels half as daunting.

4The best memorization techniques by learning style

There's no single best method β€” different children respond to different approaches. The key is variety and short daily repetition over long weekly sessions.

  • βœ“Flash cards: classic and effective β€” 5 minutes per day beats 1 hour per week
  • βœ“Songs: the Γ—9 table set to a tune is memorized 3x faster for auditory learners
  • βœ“The Γ—9 finger trick: hold out 10 fingers, fold down the nth finger for nΓ—9 β€” the digits on each side give the answer
  • βœ“Timed challenges: record time on 20 problems and try to beat your own record
  • βœ“Skip counting: count by 3s, 4s, 6s aloud while jumping or clapping
  • βœ“Apps: Mathseeds, Prodigy, or simple flashcard apps for gamified practice

5The "tricky ones" β€” special strategies for Γ—7 and Γ—8

The 7 and 8 times tables are universally the hardest, because they have no shortcut. The only reliable method is spaced repetition β€” repeated retrieval practice over several days.

For Γ—7: isolate the 5-6 facts that don't overlap with easier tables (7Γ—3, 7Γ—4, 7Γ—6, 7Γ—7, 7Γ—8) and practice those specifically. For Γ—8: the sequence 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 can be learned as a chant. Once the sequence is memorized, individual facts become lookups within it.

5Γ—6=30, 6Γ—6=36, 7Γ—6=42, 8Γ—6=48 β€” teach these four together as a pattern. The evenΓ—6 facts all end in the same digit as their multiplier (6Γ—6=36, 8Γ—6=48). This pattern makes them easier to anchor.

6Common mistakes that waste weeks of practice

Too much at once. A parent who wants all tables mastered in two weeks creates counterproductive pressure. The brain consolidates automatisms during sleep β€” distributed practice over weeks is neurologically superior to intensive short-term cramming.

Memorizing without understanding. A child who recites "six times seven equals forty-two" without knowing what that means concretely will struggle when multiplication appears in new contexts (fractions, area, ratios). Always spend 2-3 minutes connecting the table to a real situation before drilling for speed.

  • βœ“Don't mix too many tables at the start β€” master one before adding another
  • βœ“Don't compare to siblings or classmates β€” each child has their own pace
  • βœ“Always end on a success β€” finish with easy problems
  • βœ“Never punish or shame for a wrong answer

Multiplication tables are not a mountain β€” they're 55 facts learned one at a time, in the right order, with the right methods. With 5-8 weeks of daily 5-minute practice, your child can master all the tables. The keys: start with the easy ones, use the connections between tables, and never sacrifice understanding for rote memorization.

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