Divisibility

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How can you tell whether a number is divisible by another number (leaving no remainder) without actually doing the division?

[ maths ]
asked on 21 Jan 2011 Abigail Silva 14 Q, 0 A, 0 C 1
2: If the last digit is even, the number is divisible by 2.
3 : If the sum of the digits is divisible by 3, the number is also divisible by 3.
4 : If the last two digits form a number divisible by 4, the number is also divisible by 4.
5 : If the last digit is a 5 or a 0, the number is divisible by 5.
6 : If the number is divisible by both 3 and 2, it is also divisible by 6.
7 : Take the last digit, double it, and subtract it from the rest of the number; if the answer is divisible by 7 (including 0), then the number is also.
8 : If the last three digits form a number divisible by 8, then so is the whole number.
9 : If the sum of the digits is divisible by 9, the number is also.
10 : If the number ends in 0, it is divisible by 10.
11 : Alternately add and subtract the digits from left to right. If the result (including 0) is divisible by 11, the number is also. Example: to see whether 365167484 is divisible by 11, start by subtracting: 3-6+5-1+6-7+4-8+4 = 0; therefore 365167484 is divisible by 11.
12 : If the number is divisible by both 3 and 4, it is also divisible by 12.
13 : Delete the last digit from the number, then subtract 9 times the deleted digit from the remaining number. If what is left is divisible by 13, then so is the original number.
answered on 21 Jan 2011 Joe Seb 0 Q, 23 A, 0 C

[ high-school ] x 36

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[ maths ] x 12           