9000084904
Level:
B
From the following list find the number which has just three proper divisors.
\(49\)
\(21\)
\(75\)
\(100\)
\(250\)
Elementary arithmetics
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.
\(125\)
\(15\)
\(100\)
\(250\)
\(768\)
9000084909
Level:
B
Among the following numbers, find the number so that in its factorization into primes each prime is squared.
\(36\)
\(24\)
\(120\)
\(360\)
\(512\)
9000084908
Level:
B
From the following list of numbers choose the one that has in its prime factorization the highest power of a prime.
\(1\: 024\)
\(21\)
\(100\)
\(330\)
\(486\)
9000084907
Level:
B
Among the following numbers, find the one that has the greatest number of different primes in its prime factorization.
\(330\)
\(21\)
\(100\)
\(486\)
\(1\: 024\)
9000084906
Level:
B
In the following list find the number such that the prime factorization of this
number contains exactly one cube power.
\(24\)
\(12\)
\(63\)
\(196\)
\(420\)
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 \(10\).
9000076009
Level:
B
In the following list identify a set of the numbers where all the numbers are primes.
\(3,\ 7,\ 89\)
\(7,\ 15,\ 17\)
\(8,\ 11,\ 17\)
\(2,\ 7,\ 91\)
\(3,\ 27,\ 81\)