Study Guide — 4.OA.B.4

Find all factor pairs for a whole number in the range 1-100

Understand multiplication as equal groups and division as sharing or grouping.

What this standard means

• 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.
• Apply find all factor pairs for a whole number in the range 1-100 with models and explanation
• Models multiplication as equal groups or arrays

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Draw arrays for multiplication 2. Use repeated addition to explain products 3. Connect division to missing-factor multiplication

_See printable PDF for diagram._

Common mistakes

• Confusing multiplication with addition
• Unequal groups in array models

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 4.OA.B.4.

• [ ] Models multiplication as equal groups or arrays
• [ ] Solves division as sharing or grouping
• [ ] Relates multiplication and division facts

Materials for this standard

• Practice Problems — 20 printable sets
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors