9000084909
Level:
B
Among the following numbers, find the number so that in its factorization into primes each prime is squared.
\(36\)
\(24\)
\(120\)
\(360\)
\(512\)
B
9000084901
Level:
B
Which of the following numbers is a prime?
\(17\)
\(1\)
\(27\)
\(91\)
\(289\)
9000084908
Level:
B
From the following list of numbers choose the one that has in its prime factorization the highest power of a prime.
\(1\: 024\)
\(21\)
\(100\)
\(330\)
\(486\)
9000084902
Level:
B
In the following list find the set which does not contain any prime number.
\(91,\ 243\)
\(13,\ 100\)
\(2,\ 4\)
\(29,\ 81\)
\(101,\ 211\)
9000084907
Level:
B
Among the following numbers, find the one that has the greatest number of different primes in its prime factorization.
\(330\)
\(21\)
\(100\)
\(486\)
\(1\: 024\)
9000084903
Level:
B
In the following list find the set which contains only prime numbers.
\(13,\ 131\)
\(1,\ 31,\ 211\)
\(289,\ 291\)
\(17,\ 169\)
\(51,\ 97\)
9000084906
Level:
B
In the following list find the number such that the prime factorization of this
number contains exactly one cube power.
\(24\)
\(12\)
\(63\)
\(196\)
\(420\)
9000084904
Level:
B
From the following list find the number which has just three proper divisors.
\(49\)
\(21\)
\(75\)
\(100\)
\(250\)
9000083607
Level:
B
Assuming \(x\neq 0\),
\(x\neq \pm 1\),
\(y\neq 0\),
simplify the expression.
\[
\left [\left ( \frac{x}
{x + 1}\right )^{2} : \left (\frac{x - 1}
{y} \right )^{2}\right ] : \frac{2xy}
{x^{2} - 1}
\]
\(\frac{xy}
{2\left (x^{2}-1\right )}\)
\(4\)
\(\frac{x^{2}-1}
{4} \)
\(\frac{x-1}
{4} \)
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.
\(100\)
\(5\)
\(25\)
\(120\)
\(121\)