Question

how many prime number are there in
${6}^{7} \times {35}^{3} \times {11}^{10}$

Answer 1

${6}^{7} \times {35}^{3} \times {11}^{10}$
could be written as
${3}^{7} \times {2}^{7} \times {7}^{3} \times {5}^{3} \times {11}^{10}$
They coild not be broken into more prime numbers.
As {3}^{7} could be written as 3×3 ×3 ×3..... (7 times).
Similar thing will happen to other too.

So there are total 7+7+3+3+10 = 30 prime numbers.