5.3.5

Factors

Test yourself

Factors

A factor is a number which divides exactly into another number without any remainders.

Illustrative background for Example: factors of 10Illustrative background for Example: factors of 10 ?? "content

Example: factors of 10

  • The factors of 10 are all the numbers that 10 can be divided by with no remainders.
    • 1 is a factor of 10. 10 ÷ 1 = 10
    • 10 is a factor of 10. 10 ÷ 10 = 1
    • 2 is a factor of 10. 10 ÷ 2 = 5
    • 5 is a factor of 10. 10 ÷ 5 = 2
Illustrative background for Factors come in pairsIllustrative background for Factors come in pairs ?? "content

Factors come in pairs

  • Factors can be found by finding two numbers that multiply to make a number.
    • E.g. 2 × 5 = 10
      • 2 and 5 are both factors of 10.
    • E.g. 1 × 10 = 10
      • 1 and 10 are both factors of 10.
Illustrative background for Factors come in pairs 2Illustrative background for Factors come in pairs 2 ?? "content

Factors come in pairs 2

  • You can think of factors in pairs.
    • 2 and 5 are a factor pair of 10 because 2 × 5 = 10.
    • 1 and 10 are a factor pair of 10 because 1 × 10 = 10.

Factor Bugs

Factor bugs are a fun way to find all the factor pairs of a number. The legs of a factor bug show you the factor pairs.

Illustrative background for Find the first factor pairIllustrative background for Find the first factor pair ?? "content

Find the first factor pair

  • The first factor pair is always 1 and the number you're finding factors for.
    • The first factor pair is 1 and 24 because 1 × 24 = 24.
Illustrative background for Find the next factorIllustrative background for Find the next factor ?? "content

Find the next factor

  • Next, work out if 2 is a factor of 24.
    • 2 × 12 = 24
    • So 2 and 12 is the next factor pair of 24.
Illustrative background for Find the next factorIllustrative background for Find the next factor ?? "content

Find the next factor

  • Next, work out if 3 is a factor of 24.
    • 3 × 8 = 24
    • So 3 and 8 is the next factor pair of 24.
Illustrative background for Find the next factorIllustrative background for Find the next factor ?? "content

Find the next factor

  • Next, work out if 4 is a factor of 24.
    • 4 × 6 = 24
    • So 4 and 6 is the next factor pair of 24.
Illustrative background for Find the next factorIllustrative background for Find the next factor ?? "content

Find the next factor

  • Next, work out if 5 is a factor of 24.
    • 5 is NOT a factor of 24 because there is no whole number that you can multiply 5 by to get 24.
  • Next, work out if 6 is a factor of 24.
    • You already know 6 is a factor of 24 because 4 × 6 = 24.
Illustrative background for The factors of 24Illustrative background for The factors of 24 ?? "content

The factors of 24

  • You know you have all the factors of a number when you reach a number that you already know is a factor (6 in this example)
    • We can say that the factors of 24 are 1, 24, 2, 12, 3, 8, 4 and 6.
Illustrative background for Using factor pairsIllustrative background for Using factor pairs ?? "content

Using factor pairs

  • With factor pairs, we know that when we are multiplying we can use them both ways round.
  • For example, 5 × 6 = 30 and 6 × 5 = 30

Jump to other topics

1Year 3 - Number

1.1Number & Place Value

1.1.1Multiples

1.1.2Counting in Multiples

1.1.3Recognising Three-Digit Numbers

1.1.4Finding 10 More or Less than a Number

1.1.5Finding 100 More or Less than a Number

1.1.6Ordering & Comparing Numbers up to 1,000

1.1.7Writing & Reading Numbers

1.1.8Representing Numbers

1.2Addition & Subtraction

1.2.1Mental Addition & Subtraction

1.2.2Column Method

1.2.3Estimating Calculations

1.2.4Inverse Operations

1.2.5Missing Number Problems

1.2.6Real-Life Problems

1.3Multiplication & Division

1.3.1Times Tables

1.3.2Using Times Tables

1.3.3Multiplying Numbers

1.3.4Missing Number Problems

1.3.5Real-Life Problems

1.4Fractions

1.4.1Tenths

1.4.2Fractions

1.4.3Fractions Equal to a Whole

1.4.4Equivalent Fractions

1.4.5Fractions of Shapes

1.4.6Fractions of Amounts

1.4.7Add & Subtract Fractions

1.4.8Compare & Order Fractions

2Year 3 - Measurement

2.1Length

2.1.1Length

2.1.2Comparing Lengths

2.1.3Add & Subtract Lengths

2.1.4Perimeter

2.2Mass

2.2.1Mass

2.2.2Comparing Masses

2.2.3Add & Subtract Masses

2.3Volume & Capacity

2.3.1Volume & Capacity

2.3.2Comparing Volumes

2.3.3Add & Subtract Volumes

2.4Money

2.4.1Money

2.4.2Counting Money

2.4.3Adding & Subtracting Money

2.5Time

2.5.1Units of Time

2.5.2Clocks

2.5.3Telling the Time

2.5.4Time of the Day

2.5.512-Hour & 24-Hour Clocks

2.5.6Measuring Time

3Year 3 - Geometry

3.1Angles

3.1.1Angles in Degrees

3.1.2Types of Angle

3.2Properties of Shapes

3.2.12D Shapes

3.2.23D Shapes

3.3Straight Lines

3.3.1Straight Lines

3.3.2Parallel & Perpendicular Lines

4Year 3 - Statistics

4.1Statistics

4.1.1Statistics

4.1.2Pictograms & Bar Charts

5Year 4 - Number

5.1Number & Place Value

5.1.1Counting in Multiples

5.1.2Recognising Four Digit Numbers

5.1.3Find 1,000 More or Less than a Number

5.1.4Negative Numbers

5.1.5Ordering & Comparing Numbers Over 1,000

5.1.6Representing Numbers

5.1.7Rounding Numbers

5.1.8Roman Numerals

5.2Addition & Subtraction

5.2.1Written Methods for Adding Large Numbers

5.2.2Written Methods for Subtracting Large Numbers

5.2.3Estimation & Inverse Operations

5.2.4Solving Two-Step Problems

5.3Multiplication & Division

5.3.1Times Tables

5.3.2Using Times Tables

5.3.3Multiplication Rules

5.3.4Column Method

5.3.5Factors

5.4Fractions & Decimals

5.4.1Identifying Equivalent Fractions

5.4.2Adding & Subtracting Fractions

5.4.3Hundredths

5.4.4Decimals

5.4.5Converting Between Decimals & Fractions

5.4.6Rounding Decimals

5.4.7Ordering Decimals

6Year 4 - Measurement

6.1Units

6.1.1Metric Measurements

6.1.2Adding & Subtracting Money

6.2Time

6.2.1Converting Units of Time

6.2.2Changing the 12-Hour Clock to the 24-Hour Clock

6.2.3Changing the 24-hour Clock to the 12-Hour Clock

7Year 4 - Geometry

7.1Properties of Shapes

7.1.1Symmetry

7.1.2Types of Triangle

7.1.3Quadrilaterals

7.2Perimeter & Area

7.2.1Perimeter

7.2.2Area

7.3Position & Direction

7.3.1Coordinates

7.3.2Translation

8Year 4 - Statistics

8.1Statistics

8.1.1Types of Data

8.1.2Pictograms & Bar Charts

8.1.3Line Graphs

Unlock your full potential with Seneca Premium

  • Unlimited access to 10,000+ open-ended exam questions

  • Mini-mock exams based on your study history

  • Unlock 800+ premium courses & e-books

Get started with Seneca Premium

Column Method

Identifying Equivalent Fractions