---
title: "Division as Unknown Factor"
description: "Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)"
canonical: https://lightmysky.com/learn/mathematics/division-as-unknown-factor-mt_GDG9_SZmsO
source: https://lightmysky.com/learn/mathematics/division-as-unknown-factor-mt_GDG9_SZmsO.md
retrieved: 2026-10-19
---

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# Division as Unknown Factor

Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)

Subject: Mathematics · Area: Multiplication & Division · Ages 8 to 9
Page: https://lightmysky.com/learn/mathematics/division-as-unknown-factor-mt_GDG9_SZmsO

## Ready when they can

- Explain that 32 ÷ 8 = ? is the same as 8 × ? = 32
- Use a known multiplication fact to find a division answer
- Describe the relationship between multiplication and division as inverse operations

## Lesson: Division as a Missing Factor

You already know multiplication and division are connected. When you see 32 ÷ 8, you can turn it into a multiplication question instead: what number times 8 gives 32?

*(drawing: 8 rows of 4 make 32. So 8 × 4 = 32, which means 32 ÷ 8 = 4.)*

**Example.** Zara needs to solve 32 ÷ 8. Instead of guessing, she thinks of her times tables: 8 × 4 = 32. So the missing number is 4, and 32 ÷ 8 = 4.

Multiplication and division are inverse operations: each one undoes the other. 5 × 4 = 20, and 20 ÷ 5 takes you back to 4. So you can turn any division into a multiplication with a missing number. 20 ÷ 5 becomes 5 × ? = 20. Then use a times table fact you know to fill the gap.

**Recap.** Division finds the missing factor: turn ÷ into × with a blank, then use your times tables to fill it in.

## Practice

17 questions on this page, each with its working shown.

## Needs first

- [What Multiplication Means](https://lightmysky.com/learn/mathematics/what-multiplication-means-mt_gtTl3R5buH)
- [What Division Means](https://lightmysky.com/learn/mathematics/what-division-means-mt_iNdrM2-oJf)
- [Times tables (age 7+)](https://lightmysky.com/learn/mathematics/times-tables-age-7-mt_wQ89AEXhz3)

## Opens up

- [Short division](https://lightmysky.com/learn/mathematics/short-division-mt_MCu_SNg_OW)
- [Fluent multiplication and division facts](https://lightmysky.com/learn/mathematics/fluent-multiplication-and-division-facts-mt_WX30dzi4dt)
- [Unknown in Multiplication & Division](https://lightmysky.com/learn/mathematics/unknown-in-multiplication-and-division-mt_xZvDCYA5Ae)