Number properties and variations Flashcards
what is whole number?
a number in range [0, inf] is called whole number
what is composite number?
a number which is not prime is called composite number
what is natural number?
a number in range [1, inf] is called natural number
True or False? Number 1 is neither prime nor composite
true
product of three consecutive integers is always divisible by?
6
product of two consecutive even integers is always divisible by?
8
what is coprime number?
coprime numbers are those who’s common factor is 1
for consecutive integers mean is always equal to?
median
if a+b = x then maximum value for a*b is seen when ?
a and b are closed to each other i.e if a+b = 4 then a*b is maximum if a=4 and b=4
product of three consecutive even integers is always divisible by?
48
product of three consecutive integers always divisible by 24 if ?
the first number is even
if N = a^x * b^y * c^z .. so on. where a,b,c are prime numbers and x,y,z are integers then total no of factors are?
(x+1)*(y+1)*(z+1)...
if N = a^x * b^y * c^z .. so on. where a,b,c are prime numbers and x,y,z are integers then total no of ODD factors are?
(y+1)*(z+1)…`
remainder cannot be a decimal?
true
if N = a^x * b^y * c^z .. so on. where a,b,c are prime numbers and x,y,z are integers then total no of even factors are?
total noof even factors = total no of factors - total no of odd factors
- (OR) (x)*(y+1)*(z+1)..
remainder is always positive?
true
remainder cannot be a fraction?
true
remainder R is always less than Divisor (R<D)?
true
remainder R is always <= Divident
true
A number is divisible by 2 if.
last digit is even
A number is divisible by 4 if.
last two digits are divisible by 4
A number is divisble by 8 if.
last three digits are divisible by 8
