Name: Class: Date:

Our multiples of 6 number search collection Set 37. Hours of entertainment.

Multiples of 6 Number Search

Multiples of 6 (6, 12, 18, 24, 30...) follow an interesting pattern: numbers divisible by both 2 and 3. To be a multiple of 6, a number must be even AND have digits that sum to a multiple of 3. This compound requirement makes these puzzles excellent for practicing multiple divisibility rules simultaneously.

Learning multiples of 6 develops understanding of composite number properties and how divisibility rules combine. These puzzles strengthen mathematical flexibility by requiring application of multiple concepts at once.

How to use this number search set

Best for number sense, math vocabulary, pattern recognition, and mixed puzzle practice.

  • Print the puzzle, search for the target numbers or patterns, then check answers after students finish.
  • Move from multiples and primes into number patterns, mixed challenges, and related grid puzzles.
  • Use the previous and next set links to stay inside the same page family instead of jumping to unrelated worksheets.

What is a multiples of 6 number search?

A multiples of 6 number search asks you to locate numbers such as 6, 12, 18, 24, 30, 36, and beyond in a grid of digits. It combines knowledge of both the 2-times and 3-times tables.

How do I know if a number is a multiple of 6?

A number is a multiple of 6 if it is both even (divisible by 2) and its digits sum to a multiple of 3. For instance, 42 is even and 4 + 2 = 6, so 42 is a multiple of 6.

What makes multiples of 6 puzzles a good challenge?

Since 6 = 2 x 3, students apply two divisibility rules simultaneously. This deepens number sense and prepares learners for more complex factoring tasks.

Tips for Multiples of 6

  • Multiples of 6 must be even: Rule out all odd numbers immediately, focusing only on even digits.
  • The digits must sum to 3, 6, or 9: Apply the "divisible by 3" rule to verify candidates quickly.
  • Combine two rules for certainty: Even ending AND digit sum rule guarantees it's a multiple of 6.
More Resources