3. (1) Write down four consecutive positive integers, each of which is a multiple of a perfect square other than 1, and specify which perfect square each is a multiple of;
(2) Write down six consecutive positive integers, each of which is a multiple of a perfect square other than 1, and specify which perfect square each is a multiple of, and explain your calculation method.
3. (1) $242, 243, 244, 245$ are four consecutive positive integers, 242 is a multiple of $11^{2}$, 243 is a multiple of $3^{2}$, 244 is a multiple of $2^{2}$, and 245 is a multiple of $7^{2}$.
(2) $2348124, 2348125, 2348126,$
$2348127, 2348128, 2348129$

are six consecutive positive integers, where 2348124 is a multiple of $2^{2} \times 11^{2}$, 2348127 is a multiple of $3^{2}$, 2348128 is a multiple of $2^{2}$, and 2348129 is a multiple of $7^{2}$.
The calculation method is as follows:
Let $A=4 \times 9 \times 121 \times 49 k\left(k \in \mathbf{N}_{+}\right)$.
From (1), we know that,
$A+240$ is a multiple of $2^{2}$,
$A+242$ is a multiple of $11^{2}$,
$A+243$ is a multiple of $3^{2}$,
$A+244$ is a multiple of $2^{2}$,
$A+245$ is a multiple of $7^{2}$.
Assume $A+241$ is a multiple of $5^{2}$.
Then, when $k=11$, the above equation holds.
At this time, $A=2347884$.
$A+240=2348124$ is a multiple of $2^{2}$,
$A+241=2348125$ is a multiple of $5^{2}$,
$A+242=2348126$ is a multiple of $11^{2}$,
$A+243=2348127$ is a multiple of $3^{2}$,
$A+244=2348128$ is a multiple of $2^{2}$,
$A+245=2348129$ is a multiple of $7^{2}$.