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If x is divisible by y then Y is...... 

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1) y is a divisor of x.
2) y is a factor of x.
3) x equals ky for some integer k.
4)x is a multiple of y! 


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Sum of all the digits is divisible by 3.
example: 491 = 14 NOT divisible by 3
531= 9 divisible by 3. 


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2digit # at the end is divisible by 4
412= 12= divisible by 4. 


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Divisibility rules by 2 & 3. So EVEN and if sum of all digits is divisible by 3 


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Sum of all the digits is divisible by 9. 


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2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59
2 is only even prime 


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y is hiding in the prime factorization of x 


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Rule for Adding same type of integer together 

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If integer is BOTH ODD, or BOTH EVEN will always be EVEN!!!!!! 


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Rule for adding/subtracting to different kinds of integers 

Definition
When adding or subtracting an ODD and a EVEN or vice versa answer will always be ODD 


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Rule for multipling with EVEN integers 

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If multiplication problem has any EVEN in the problem the answer will ALWAYS BE EVEN!!!!!!!! 


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How many POSITIVE Divisors a number has? 

Definition
1) Find the prime factorization such that p*a x q*b x r*c
2) (a+1)(b+1)(c+1) 


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