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Integer Properties
All integer properties from Magoosh
22
Mathematics
Undergraduate 4
08/19/2013

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Cards

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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