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Types of number

Types of number. even numbers A number that ends in 2, 4, 6, 8 or 0 factor A number which divides exactly into another number integer A whole number odd number A number ending in 1, 3, 5, 7 or 9 prime A number with exactly two factors, 1 and itself.

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Types of number

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  1. Types of number even numbers A number that ends in 2, 4, 6, 8 or 0 factor A number which divides exactly into another number integer A whole number odd number A number ending in 1, 3, 5, 7 or 9 prime A number with exactly two factors, 1 and itself. Square numbers These are made by multiplying a whole number by itself Triangular numbers The number sequence made by the following pattern

  2. Objectives • Recognise and use multiples, factors and primes • (less than 100); use simple tests for divisibility • Recognise the first few triangular numbers, squares • of numbers to at least 12 by 12 • Recognise simple cubes.

  3. 14 25 36 44 Which is the odd one out?

  4. 2 3 4 5 Which is the odd one out?

  5. 49 16 64 21 Which is the odd one out?

  6. 231 154 324 489 Which is the odd one out?

  7. Sorting Numbers • 2 3 4 5 6 7 8 9 10 11 15 16 21 25 27 28 36 45 49 55 64 81 100 121 125 144 216 343 • 512 1000 • Sort the numbers into different groups using a mathematical criteria • Repeat using a different mathematical criteria. • How many different groups can you make?

  8. Answers Guess the Criteria Group A 2 4 6 8 10 16 28 36 64 100 144 216 512 1000 Group B 3 6 9 15 21 27 36 45 81 144 216 Group C 5 10 15 25 45 55 100 125 1000 Group D 7 21 28 49 343 Group E 11 121

  9. Answers Guess the Criteria Group A 2 3 5 7 11 Group B 4 9 16 25 36 49 64 81 100 121 144 Group C 3 6 10 15 21 28 36 45 55 Group D 8 27 64 125 216 343 512 1000

  10. Even Numbers Odd Numbers Multiples of 3 Triangular Numbers Square Numbers Multiples of 5 Complete this grid

  11. D Cavill 2003

  12. Why? Justify your answer

  13. 14, 36 and 44 are even numbers 25 is the only odd number

  14. 2, 3 and 5 are prime numbers 4 is the only number that is not a prime number

  15. 16, 49 and 64 are square numbers 21 is not a square number

  16. 231, 324 and 489 are multiples of 3 231 ÷ 3 = 77 324 ÷ 3 = 108 489 ÷ 3 = 163 154 is not a multiple of 3

  17. Guess the Criteria Group A – Multiples of 2 2 4 6 8 10 16 28 36 64 100 144 216 512 1000 Group B – Multiples of 3 3 6 9 15 21 27 36 45 81 144 216 Group C – Multiples of 5 5 10 15 25 45 55 100 125 1000 Group D – Multiples of 7 7 21 28 49 343 Group E – Multiples of 11 11 121

  18. Guess the Criteria Group A – prime numbers 2 3 5 7 11 Group B – square numbers 4 9 16 25 36 49 64 81 100 121 144 Group C – triangular numbers 3 6 10 15 21 28 36 45 55 Group D – cube numbers 8 27 64 125 216 343 512 1000

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