Express $7429$ as a product of its prime factors.

According to Euclid's division lemma,for given positive integers $a$ and $7$,there exist unique non-negative integers $q$ and $r$ such that $a = 7q + r$; where..........

The last digit of $5^n$ is . . . . . . ,where $n \in N$.

Express $404$ as a product of primes.

The product of any three consecutive positive integers is always divisible by . . . . . . .

$A$ positive integer is of the form $3q + 1$,where $q$ is a natural number. Can you write its square in any form other than $3m + 1$,i.e.,$3m$ or $3m + 2$ for some integer $m$? Justify your answer.