Question

totoal number of prime factors in 6^20×16^15×21^12

Answer 1

Brother marriage you answer.
3.1×10^49. I hope it is helpful to you.

Answer 2

Answer:

124

Step-by-step explanation:

Prime factors of a number are those factors ( greater than 1) which are only divisible by itself and 1.

For example : 2, 3, 5, 7, ........

Here, the given expression is,

$6^{20}\times 16^{15}\times 21^{12}$

$=(3\times 2)^{20}\times (2^4)^{15}\times (7\times 3)^{12}$

$=3^{20}\times 2^{20}\times 2^{60}\times 7^{12}\times 3^{12}$

$=3^{20+12}\times 2^{20+60}\times 7^{12}$

$=3^{32}\times 2^{80}\times 7^{12}$

Hence, the total prime factors in the given expression = 32 + 80 + 12 = 124