9000084906
Level:
B
In the following list find the number such that the prime factorization of this
number contains exactly one cube power.
\(24\)
\(12\)
\(63\)
\(196\)
\(420\)
Fundamentals of Arithmetic
9000084901
Level:
B
Which of the following numbers is a prime?
\(17\)
\(1\)
\(27\)
\(91\)
\(289\)
9000084902
Level:
B
In the following list find the set which does not contain any prime number.
\(91,\ 243\)
\(13,\ 100\)
\(2,\ 4\)
\(29,\ 81\)
\(101,\ 211\)
9000084903
Level:
B
In the following list find the set which contains only prime numbers.
\(13,\ 131\)
\(1,\ 31,\ 211\)
\(289,\ 291\)
\(17,\ 169\)
\(51,\ 97\)
9000084904
Level:
B
From the following list find the number which has just three proper divisors.
\(49\)
\(21\)
\(75\)
\(100\)
\(250\)
9000084905
Level:
B
In the following list find the number such that the prime factorization of this
number contains just two different primes or powers of two different primes.
\(100\)
\(5\)
\(25\)
\(120\)
\(121\)
9000084910
Level:
B
In the following list find the number such that the prime factorization of this
number contains only one prime.
\(125\)
\(15\)
\(100\)
\(250\)
\(768\)
9000076006
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(578\).
\(17,\ 34,\ 289\)
\(1,\ 2,\ 4\)
\(13,\ 15,\ 17\)
\(1,\ 13,\ 289\)
\(2,\ 35,\ 578\)
9000076007
Level:
B
Complete the statement. „The sum of any three consecutive integers ...”
is divisible by \(3\).
is not divisible by \(6\).
is divisible by \(6\).
is not divisible by \(3\).
is divisible by \(9\).
9000076008
Level:
B
Complete the statement. „The sum of any five consecutive integers ...”
is divisible by \(5\).
is divisible by \(3\).
is divisible by \(4\).
is divisible by \(6\).
is divisible by \(10\).