When $(5k+1)^2$ is divided by $5$,the remainder is .......

Every composite number greater than $1$ can be expressed (factorized) as a product of primes,and this factorization is .........,apart from the order in which the prime factors occur.

The decimal representation of $35457 / 6250$ terminates after how many decimal places?

When $a^2$ is divided by $6$,which of the following cannot be the remainder? $(a \in N)$

The last digit of $2^5 \cdot 5^5$ is........

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{35}{50}$.