Mathematics

Problem

p_1, p_2, p_3, \dots, p_{m+1}

are distinct prime numbers. Then the number of factors of

p_1^n p_2 p_3 \dots p_{m+1}

is : (a)

m(n+1)

(b)

(n+1)2^m

(c)

n \cdot 2^m

(d)

2^{nm}