Year 6 - Maths
Solve problems with 4-digit dividends using factors and long division
Multiplying and dividing by 2-digit numbers
Study Hub
Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will extend their understanding of formal calculation strategies to multiply and divide by 2-digit numbers, explaining when other strategies are more efficient.
Lesson Summary
You will learn to solve problems with 4-digit dividends using factors and long division.
Key Notes
- Factors of a divisor can be used to divide a dividend.
- Listing multiples of the divisor improves efficiency and accuracy with written division methods.
- Listing multiples helps to reduce the number of steps in the long division.
Vocabulary To Learn
- Factor: Factors are numbers that multiply together to equal another number.
- Long division: Long division is a method used for dividing large numbers by breaking the number down into smaller groups.
- Prime number: A prime number is a number with exactly 2 factors.
- Remainder: A remainder is an amount left after a division.
Common Mistakes To Avoid
- Pupils may be overwhelmed by the long division algorithm, especially with using multiples of the divisor and subsequent subtraction calculations.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Factors of a divisor can be used to divide a dividend. Listing multiples of the divisor improves efficiency and accuracy with written division methods.
2. Use this key word in a maths sentence and explain it clearly. 'Factor'
Factors are numbers that multiply together to equal another number. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may be overwhelmed by the long division algorithm, especially with using multiples of the divisor and subsequent subtraction calculations. Correction: Encourage pupils to complete and make use of the multiplication facts tables to support them in their calculation.
More Lessons In This Unit
- Dividing by a 2-digit divisor including using long division Study Guide
- Dividing by a 2-digit divisor with a remainder Study Guide
- Dividing numbers with up to 4 digits by multiples of 10 Study Guide
- Explain how to multiply a 3-digit number by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 3-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 4-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers with regrouping Study Guide
- Explain how to use the associative law to multiply efficiently Study Guide
- Explain when it is efficient to use factorising or long multiplication to multiply by 2-digits Study Guide
- Solve problems involving remainders in context Study Guide
- Use long division with decimal remainders Study Guide
- Use long division with fraction remainders Study Guide
- Using short and long division to divide by a 2-digit divisor Study Guide
Browse all guides in the Year 6 Maths guide library.