CCSS.Math.Content.4.OA.B.4
The standard
Find all factor pairs for a whole number in the range 1—100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1—100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1—100 is prime or composite.
Common Core State Standards for Mathematics · Operations and Algebraic Thinking
What this standard means
Students need to find factor pairs for numbers up to 100, connect factors to multiples, and decide if a number is prime or composite. They should use multiplication facts, arrays, divisibility patterns, and organized lists instead of guessing randomly.
Mastery looks like testing factors in order and knowing when to stop, usually when factor pairs start repeating. Students often mix up factors and multiples, forget 1 as a factor, call 1 prime, or stop after finding only one factor pair.
Ways to teach it
- Give students 24 counters and have them build every possible rectangular array, then record each array as a factor pair.
- Ask students to explain in writing why 36 is a multiple of 6 and why 6 is a factor of 36.
- Show 47, 63, and 91, and have students label each prime or composite with one factor pair as evidence.
- Use calendar dates to find which days this month are multiples of 3, 4, or 7.
Plan a lesson for CCSS.Math.Content.4.OA.B.4
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