Number Theory and Divisibility - SHS Freshmen Math Team
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Divisibility Rule: 2 | The last digit is even
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| Divisibility Rule: 3 | The sum of the digits is divisible by three
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| Divisibility Rule: 4 | The last two digits are divisble by 4 (#: abc, bc is divisible by 4)
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| Divisibility Rule: 5 | The last digit is 5 or 0
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| Divisibility Rule: 6 | The number is divisible by both 2 and 3
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| Divisibility Rule: 7 | Double the last digit and subract from the rest of the number, if the result is divisible by7, then the number is divisble by 7 (#: abc, ab-2c is divisible by 7)
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| Divisibility Rule: 8 | The number is divisible by both 2 and 4
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| Divisibility Rule: 9 | The sum of the digits is divisible by 3
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| Number Cycles: Powers of 2 | 4 cycles: 2,4,8,6
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| Number Cycles: Powers of 3 | 4 cycles: 3,9,7,1
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| Number Cycles: Powers of 4 | 2 cycles: 4,6
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| Number Cycles: Powers of 5 | Always ends in 5
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| Number Cycles: Powers of 6 | Always ends in 6
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| Number Cycles: Powers of 7 | 4 cycles: 7,9,3,1
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| Number Cycles: Powers of 8 | 4 cycles: 8,4,2,6
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| Number Cycles: Powers of 9 | 2 cycles: 9,1
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| Prime Number | A Number whose only factors are 1 and itself
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| Composite Number | A Number who has more factor pairs than just 1 and itself
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| Abundant Number | A Number whose value is less than the sum of its factors (excluding itself)
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| LCM | Least Common Multiple, The lowest number that is divisible by both numbers in the given pair
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| GCD | Greatest Common Divisor, the greatest number that both numbers in a given pair are divisible by
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| Trailing Zeroes | Chains of zeroes that occupy the farthest right digits in a (Usually long) number
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| The Number of Trailing Zeroes (x=#) | 10^x
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| Prime Numbers Less Than 100 | 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,51,53,59,61,67,71,73,79,83,87,89,97
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| 6 Factorial (Expanded Form) | 6*5*4*3*2*1 = 720
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
Vingkan
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