[shahkb4]

shahkb4

3 June, 2026 at 8:23 pm #1110

Solution

Exponent of $7=\left[\frac{101}{7}\right]+\left[\frac{101}{49}\right]+\left[\frac{101}{49 \times 7}\right]+\cdots$

\[ =14+2+0=16 \]

$101!=7^{16}(\lambda)$ Answer(1)