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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

a number is div by 11 if

число делится на 11, если знакочередующаяся сумма его цифр делится на 11. 1234321. Знакочередующаяся сумма цифр этого числа равна 1 − 2 + 3 − 4 + 3 − 2 + 1 = 0. Так как 0 делится на 11, то и число 1234321 делится на 11