If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2^i * 3^k * 5^m * 7^p, then i + k + m + p = Choose the most appropriate option.
A) 4 B) 7 C) 8 D) 11 E) 12
Given that x=8!=2^7∗3^2∗5∗7x. Hence, x=2^7∗3^2∗5^1∗7^1=2^i∗3^k∗5^m∗7p, since i, k, m, and p are positive integers, then we can equate the exponents, so we have that i=7, k=2, m=1, and p=1   Therefore, i+k+m+p=7+2+1+1= 
<gadget id="calculator">7+2+1+1</gadget>
<output>11</output>
11   Answer: 11.
<result>D</result>
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2^i * 3^k * 5^m * 7^p, then i + k + m + p =