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Integer Properties
All integer properties from Magoosh
22
Mathematics
08/19/2013

Term
 If x is divisible by y then Y is......
Definition
 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!
Term
 Divisibility Rules for 3
Definition
 Sum of all the digits is divisible by 3.    example: 491 = 14 NOT divisible by 3 531= 9 divisible by 3.
Term
 Divisiblity Rules for 4
Definition
 2-digit # at the end is divisible by 4   412= 12= divisible by 4.
Term
 Divisibility for 6
Definition
 Divisibility rules by 2 & 3. So EVEN and if sum of all digits is divisible by 3
Term
 Divisibility rules by 9
Definition
 Sum of all the digits is divisible by 9.
Term
 First 17 Prime Numbers
Definition
 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59 2 is only even prime
Term
 If x is divisble by Y
Definition
 y is hiding in the prime factorization of x
Term
 Even number=
Definition
 2k
Term
 Odd Number
Definition
 2k+1
Term
 odd +/- odd
Definition
 EVEN
Term
 Even +/- Even
Definition
 EVEN
Term
 Odd +/- Even
Definition
 ODD
Term
 Rule for Adding same type of integer together
Definition
 If integer is BOTH ODD, or BOTH EVEN will always be EVEN!!!!!!
Term
 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
Term
 Rule for multipling with EVEN integers
Definition
 If multiplication problem has any EVEN in the problem the answer will ALWAYS BE EVEN!!!!!!!!
Term
 OxO
Definition
 odd
Term
 odd/even
Definition
 IS NOT AN INTEGER
Term
 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)
Term
 If a/b=c(remainder d)
Definition
 Then   c x b + d = a
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