1.3.2

Factors

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Factors

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

Example: factors of 10

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
Factors come in pairs

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.
Factors come in pairs 2

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.

Find the first factor pair

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.
Find the next factor

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.
Find the next factor

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.
Find the next factor

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.
Find the next factor

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.
The factors of 24

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.
Jump to other topics
1

Year 5 - Number

1.1

Number & Place Value

1.1.1The Value of Digits to Millions1.1.2Smallest & Biggest Numbers to Millions1.1.3Ordering Numbers to Millions1.1.4Counting in Powers of 101.1.5Counting in Negative Numbers1.1.6Rounding Numbers up to 1,000,0001.1.7Reading Roman Numerals
1.2

Addition & Subtraction

1.2.1Written Methods for Adding Large Numbers1.2.2Written Methods for Subtracting Large Numbers1.2.3Mental Addition & Subtraction1.2.4Rounding to Check Your Answer
1.3

Multiplication & Division

1.3.1Multiples1.3.2Factors1.3.3Prime Numbers1.3.4Prime Factors1.3.5Composite Numbers1.3.6Factor Trees1.3.7Multiplication by a 1 Digit Number1.3.8Long Multiplication Using Column Method1.3.9Times Tables1.3.10Division1.3.11Multiplying & Dividing by 10, 100 & 1,0001.3.12Square & Cube Numbers
1.4

Fractions & Decimals

1.4.1Compare & Order Fractions1.4.2Identifying Equivalent Fractions1.4.3Add & Subtract Fractions1.4.4Mixed Numbers & Improper Fractions1.4.5Multiplying Fractions by Whole Numbers1.4.6Converting Between Decimals & Fractions1.4.7Rounding Decimals1.4.8Ordering Decimals
2

Year 5 - Measurement

2.1

Measures

2.1.1Metric Measurements2.1.2Imperial Measurements
2.2

Perimeter & Area

2.2.1Perimeter2.2.2Area
2.3

Time

2.3.1Units of Time
3

Year 5 - Geometry

3.1

Properties of 3D Shapes

3.1.1Types of 3D Shapes3.1.2Faces, Edges & Vertices
3.2

Properties of 2D Shapes

3.2.1Polygons
3.3

Angles

3.3.1Angles in Degrees3.3.2Types of Angle3.3.3Finding Missing Angles
3.4

Position & Direction

3.4.1Reflection & Translation
4

Year 5 - Statistics

4.1

Graphs

4.1.1Line Graphs4.1.2Tables4.1.3Timetables
5

Year 6 - Number

5.1

Number & Place Value

5.1.1The Value of Digits to Ten Millions5.1.2Ordering Numbers to Millions5.1.3Rounding5.1.4Negative Numbers
5.2

Multiplication & Division

5.2.1Multiplication by a 2 Digit Number5.2.2Division5.2.3Multiples5.2.4Factors5.2.5Primes
5.3

Mental Maths

5.3.1Multiplying & Dividing by 10, 100 & 1,0005.3.2Addition & Subtraction5.3.3Adding & Subtracting 10, 100 & 1,0005.3.4Multiplication & Division
5.4

Order of Operations

5.4.1BIDMAS
5.5

Problem Solving

5.5.1Addition & Subtraction Multi-step Problems5.5.2Problem Solving with Proportion
5.6

Fractions & Decimals

5.6.1Simplifying Fractions Using Equivalents5.6.2Ordering Different Types of Fraction5.6.3Adding & Subtracting Fractions5.6.4Adding & Subtracting Mixed Numbers5.6.5Multiplying Fractions5.6.6Dividing Fractions by Whole Numbers5.6.7Converting Between Decimals & Fractions5.6.8Dividing Decimals
6

Year 6 - Ratio & Proportion

6.1

Ratio

6.1.1Using Ratios6.1.2Simplifying Ratios
6.2

Percentages

6.2.1Calculating Percentages
6.3

Scale

6.3.1Scale of 2D Shapes
7

Year 6 - Algebra

7.1

Sequences

7.1.1Describing Sequences7.1.2Finding Gaps in Sequences
7.2

Missing Number Problems

7.2.1Missing Number Problems
7.3

Equations

7.3.1Balancing Equations7.3.2Combining Two Variables
8

Year 6 - Measurement

8.1

Problem Solving

8.1.1Problem Solving with Measures
8.2

Unit Conversion

8.2.1Conversion Between Miles & Kilometres
8.3

Perimeter, Area & Volume

8.3.1Area8.3.2Volume8.3.3Nets8.3.4Faces, Edges & Vertices
8.4

Angles

8.4.1Types of Angle8.4.2Finding Missing Angles8.4.3Finding Missing Angles in Triangles8.4.4Vertically Opposite Angles
8.5

Circles

8.5.1Parts of a Circle
8.6

Coordinate Grids

8.6.1Positions on Coordinate Grids8.6.2Reflection & Translation
9

Year 6 - Statistics

9.1

Displaying Data

9.1.1Pie Charts9.1.2Line Graphs
9.2

Averages

9.2.1Mean

Practice questions on Factors

Can you answer these? Test yourself with free interactive practice on Seneca — used by over 10 million students.

  1. 1
    What factor of 15 pairs with 3?Multiple choice
  2. 2
    Which factor of 24 pairs with 6?Multiple choice
  3. 3
    Is 5 a factor of 16?Multiple choice
  4. 4
    Is 3 a factor of 21?Multiple choice
  5. 5
    What number should be opposite 8 on the factor bug?Multiple choice
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Multiples

Prime Numbers