2. The number of integers between 1 and 100 that cannot be divided by $2$, $3$, or $5$ is $($ ).
A. 32
B. 103
C. 29
D. 26
2. D.
$$
100-\left[\frac{100}{2}\right]-\left[\frac{100}{3}\right]-\left[\frac{100}{5}\right]+\left[\frac{100}{2 \times 3}\right]+\left[\frac{100}{3 \times 5}\right]+\left[\frac{100}{2 \times 5}\right]-\left[\frac{100}{2 \times 3 \times 5}\right]=26 .
$$