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Key GMAT Arithmetic

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Define: Prime Numbers   A integer that is only divisible by itself and 1. Neither 0 nor 1 is prime numbers.  
Define: Divisor/Factor   A POSITIVE integer that can divide into another integer.  
Define: Multiple   ANY integer (negative or positive) can divide into another integer with no remainder.  
Define: Integer   ANY (positive or negative) “whole” number i.e. not a fraction or decimal.  
2x2=   4  
2x3=   6  
2x4=   8  
2x5=   10  
2x6=   12  
2x7=   14  
2x8=   16  
2x9=   18  
2x10=   20  
2x11=   22  
2x12=   24  
2x13=   26  
2x14=   28  
2x15=   30  
3x2=   6  
3x3=   9  
3x4=   12  
3x5=   15  
3x6=   18  
3x7=   21  
3x8=   24  
3x9=   27  
3x10=   30  
3x11=   33  
3x12=   36  
3x13=   39  
3x14=   42  
3x15=   45  
4x2=   8  
4x3=   12  
4x4=   16  
4x5=   20  
4x6=   24  
4x7=   28  
4x8=   32  
4x9=   36  
4x10=   40  
4x11=   44  
4x12=   48  
4x13=   52  
4x14=   56  
4x15=   60  
5x2=   10  
5x3=   15  
5x4=   20  
5x5=   25  
5x6=   30  
5x7=   35  
5x8=   40  
5x9=   45  
5x10=   50  
5x11=   55  
5x12=   60  
5x13=   65  
5x14=   70  
5x15=   75  
6x2=   12  
6x3=   18  
6x4=   24  
6x5=   30  
6x6=   36  
6x7=   42  
6x8=   48  
6x9=   54  
6x10=   60  
6x11=   66  
6x12=   72  
6x13=   78  
6x14=   84  
6x15=   90  
7x2=   14  
7x3=   21  
7x4=   28  
7x5=   35  
7x6=   42  
7x7=   49  
7x8=   56  
7x9=   63  
7x10=   70  
7x11=   77  
7x12=   84  
7x13=   91  
7x14=   98  
7x15=   105  
8x3=   24  
8x4=   32  
8x5=   40  
8x6=   48  
8x7=   56  
8x8=   64  
8x9=   72  
8x10=   80  
8x11=   88  
8x12=   96  
8x13=   104  
8x14=   112  
8x15=   120  
9x3=   27  
9x4=   36  
9x5=   45  
9x6=   54  
9x7=   63  
9x8=   72  
9x9=   81  
9x10=   90  
9x11=   99  
9x12=   108  
9x13=   117  
9x14=   126  
9x15=   135  
11x11=   121  
11x12=   132  
11x13=   143  
11x14=   154  
11x15=   165  
12x2=   24  
12x3=   36  
12x4=   48  
12x5=   60  
12x6=   72  
12x7=   84  
12x8=   96  
12x9=   108  
12x10=   120  
12x11=   132  
12x12=   144  
12x13=   156  
12x14=   168  
12x15=   180  
13x2=   26  
13x3=   39  
13x4=   52  
13x5=   65  
13x6=   78  
13x7=   91  
13x8=   104  
13x9=   117  
13x10=   130  
13x11=   143  
13x12=   156  
13x13=   169  
13x14=   182  
13x15=   195  
14x2=   28  
14x3=   42  
14x4=   56  
14x5=   70  
14x6=   84  
14x7=   98  
14x8=   112  
14x9=   126  
14x10=   140  
14x11=   154  
14x12=   168  
14x13=   182  
14x14=   196  
14x15=   210  
15x2=   30  
15x3=   45  
15x4=   60  
15x5=   75  
15x6=   90  
15x7=   105  
15x8=   120  
15x9=   135  
15x10=   150  
15x11=   165  
15x12=   180  
15x13=   195  
15x14=   210  
15x15=   225  
Divisibility rule of 2   If the number's last digit is even.  
Divisibility rule of 3   If the sum of the digits is divisible by 3.  
Divisibility rule of 4   If the last two digits are divisible by 4.  
Divisibility rule of 5   If the number ends in 0 or 5.  
Divisibility rule of 6   If the number is even and the sum of the digits is divisible by 3.  
Divisibility rule of 8   If the number is even when divided by 2 twice.  
Divisibility rule of 9   If the sum of the digits is divisible by 9.  
Divisibility rule of 10   If the number ends in 0.  
Divisibility rule of 25   If the last two digits are divisible by 25 or are 00.  
Divisibility rule of 11   If (sum of the odd digits) minus (sum of even digits) is divisible by 11  
Divisibility rule of 12   If divisibility rule 3 and 4 are true: -If the sum of the digits is divisible by 3. and -If the last two digits are divisible by 4.  
______?_______ ?   ___numerator___ denominator  
1/2 =   0.5  
1/3 =   0.333....  
1/4 =   0.25  
1/5 =   0.20  
1/6 =   .1667  
1/7 =   0.143  
1/8 =   .125  
1/9 =   .1111  
Define: Least Common Multiple   The smallest non-zero number that two or more numbers are a multiple of. Procedure: Factor each number and multiple the highest exponent example of each factor against one another.  
Define: Greatest Common Factor   The largest number that divides into each of a given set of numbers. Procedure: Factor each number and multiple the factors they have in common against one another.  
Odd +/- Odd =   Even  
Odd +/- Even =   Odd  
Even +/- Even =   Even  
Odd x Odd =   Odd  
Odd x Even =   Even  
Even x Even =   Even  
Positive + Positive =   Positive  
Positive + Negative =   Positive or Negative  
Negative - Negative =   Negative  
Positive x Positive =   Positive  
Positive x Negative =   Negative  
Negative x Negative =   Positive  
-1^2=   1  
0^2=   0  
1^2=   1  
2^2=   4  
2^3=   8  
2^4=   16  
2^5=   32  
2^6=   64  
3^2=   9  
3^3=   27  
3^4=   81  
4^2=   16  
4^3=   64  
4^4=   256  
5^2=   25  
5^3=   125  
5^4=   625  
6^2=   36  
7^2=   49  
8^2=   64  
9^2=   91  
10^2=   100  
11^2=   121  
12^2=   144  
13^2=   169  
14^2=   196  
15^2=   225  
20^2=   400  
25^2=   625  
   
Define: Units Digit   The last digit in a number.  
Is zero even or odd?   Even  
How many decimal places will this problem result in? .00678 x 3.42 =   7 decimal places  
How many decimal places will this problem result in? .0022 / .003 =   1 decimal places  
What is the only even prime number?   2  
Are 0 and 1 prime numbers?   No  


   





 
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Created by: 29705394 on 2010-02-27



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