Flashcards in Arithmetic Deck (56)

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1

## Number of Factors of an Integer

###
Every integer N is the product of powers of prime numbers:

N = p^αq^β· ... · r^γ.

Number of integers :(α + 1)(β + 1) ... (γ + 1)

2

## Is zero an integer?

### yes

3

## name integers

### -3,-2,-1,0,1,2,3...

4

## even integer and formula

### any integer divisible by 2 | can be expressed as 2N (N integer). -4, -2,0,2,4,6,8

5

## Is Zero an even integer?

### yes

6

## odd integer and formula

### not divisible by 2 | -3,-1,1,5,... | can be expressed by formula 2N+1 (N is an integer)

7

## even X even = ?

### even 2x4=8

8

## even x odd = ?

### even 2*3=6

9

## odd x odd = ?

### odd 3 x 5 = 15

10

## even +/- even = ?

### even 3+4=6

11

## even +/- odd = ?

### odd 2+3=5

12

## odd +/- odd

### even 3+5 =8

13

## consecutive integers (provide examples)

### are two or more integer written in sequence in which each integer is 1 more than the preceding one

14

## prime number

### positive integer that has exactly two different positive divisors: 1 and itself

15

## first fifteen prime numbers

### 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47

16

## what is digit?

### digit refers to just one symbol, 9674 ; 9 - thousands digit, 6 - hundreds digit, tens digit, units digit

17

## quotient

### the result of division is quitient

18

## square root of 2

### 1.4

19

## square root of 3

### 1.7

20

## a number is divisible

### if the first number divided by the second number resulting in an integer

21

## N/M=q what is N,M,q

### m is a divisor of n, m is a factor of n, n is divisible by m, n is a multiple of m

22

## a number is divisible by 2 IF

### if the last digit is even! 2376 is div by 2

23

## a number is div by 5 if

### if the last digit is 0 or 5! 8745 or 8740

24

## a number is div by 10 if

### if the last digit is 0! 4500

25

## a number is div by 4 if

### if the number formed by last two digits is divisible by 4! 2376 -> 76 is div by 4

26

## a number is divisible by 8 if

###
if the number formed by last three digits is divisible by 8!

2376 -> 376 is divisible by 8

27

## a number is div by 3 if

### the sum of all digits is div by 3

28

## a number is div by 9 if

### if the sum of all digits is div by 9 ! 2376 = 2+3+7+6=18 div by 9

29

## a number is div by 12 if

### if the number is div by both 3 and 4 ! 2376 div by 4, 2376 is div by 3

30