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Mathematics Dictionary
Dr. K. G. Shih
Numbers


  • Q01 | - Factors of numbers
  • Q02 | - Magic square of number from 1 to 16
  • Q03 | - Magic circle of numbers fromm 1 to 33
  • Q04 | - Numbers in square patterns (1)
  • Q05 | - Numbers in square patterns (2)
  • Q06 | - Numbers in square patterns (3)
  • Q07 | - Numbers in square patterns (7)
  • Q08 | - Numbers

    • Q01. Factors of numbers

    Definition
    • 1. Prime number
      • It has only two factors
      • 1 and number itself
    • 2. Abundant number
      • Sum of its factor without number itself
      • The sum is greater number itself
    • 3. Deficient number
      • Sum of its factor without number itself
      • The sum is less number itself
    • 4. Perfect number
      • Sum of its factor without number itself
      • The sum is equal number itself
    • 5. Amicable number
      • Sum of its factor of number n1 without number itself equals n2
      • Sum of its factor of number n2 without number itself equals n1
      • The number pair n1 and n2 are amicable pairs
    Reference
    Go to Begin

    Q02. Magic square of number from 1 to 16

    Pattern
    • Use numbers 1 to 16 making a square pattern
    • Sum of number along each row giving same results
    • Sum of number along each column also giving same answer
    • Sum of number along each diagonal also giving same answer
    Reference
    Go to Begin

    Q03. Magic circle of numbers fromm 1 to 33

    Pattern
    • Use number 1 to 33 to make circle with numbers on diameters
    • Use number 9 as center
    • Use 8 number on a circle and make 4 circles
    • Each 8 number form a diameter
    • Sum the numbers on circle giving same results
    • Sum of number on diameter without 9 will also give same answer
    Reference
    Go to Begin

    Q4. Number sequence in square pattern

    Pattern : Start at top row 1, 3, 6, 10, 15, 21, .....
    • 1st row numbers 1, 3, 6, 10, 15, ...
    • 2nd row numbers 2, 5, 9, 14, 20, ...
    • 3rd row numbers 4, 8,13, 19, 27, ...
    Reference
    Go to Begin

    Q5. Number sequence in square pattern

    Pattern : Start at left column 1, 3, 6, 10, 15, 21, .....
    • 1st row numbers 1, 2, 4, 7, 11 ...
    • 2nd row numbers 3, 5, 8,12, ......
    • 3rd row numbers 6, 9,13, .........
    Reference
    Go to Begin

    Q6. Number sequence in square pattern

    Pattern : Start at top 1, 2, 6, 7, 15, 16, 28, 29 
    
   1st row numbers  1,  2,  6,  7, 15, 16, ...
   2nd row numbers  3,  5,  8, 14, 17, 26, ...
   3rd row numbers  4,  9, 13, 18, 25 ........
   4th row numbers 10, 12, 19, 24, ...........
   5th row numbers 11, 20, 23, ...............
    Reference
    Go to Begin

    Q7. Number sequence in square pattern

    Pattern : Start at left 1, 2, 6, 7, 15, 16, 28, 29, ..... 
    
   1st row numbers  1,  3,  4, 10, 11, 21, ...
   2nd row numbers  2,  5,  9, 12, 20, 23, ...
   3rd row numbers  6,  8, 13, 19, 24, .......
   4th row numbers  7, 14, 18, 25, ...........
   5th row numbers 15, 17, 26, ...............
    Reference
    Go to Begin

    Q8. Numbers

    Topics
    • Q01 | - Real number system
    • Q02 | - Complex number system
    • Q03 | - Special properties
    • Q04 | - Magic number circles
    • Q05 | - Numbers arranged in matrix pattern
    • Q06 | - Number sequences
    • Q07 | - Perfect square numbers and square free number
    • Q08 | - Find square root of a number
    • Q09 | - Find square root using arithmatic method
    • Q10 | - Mutiple of an integer whose digits are same
    Reference
    Go to Begin
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    Copyright © Dr. K. G. Shih, Nova Scotia, Canada.
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