Question

Find the highest power of 7 contained in 216!. Select one: a. 34 b. 36 c. 33 d. 35

Answer 1

Answer:

Step-by-step explanation:

36

Answer 2

we have to find the highest power of 7 contained in 216 !.

solution : we find the highest power of any prime number contained in a given factorial number, just to add all quotient which we get to keep on successive division of the factorial number by the prime number.

here, prime number is 7 and factorial number is 216

now dividing 216/7 ⇒ quotient = 30

and 30 is dividing by 7 ⇒quotient = 4

now if 4 is divided by 7 we get quotient zero.

so, number of power of 7 contained in 216 ! = 30 + 4 = 34

Therefore the highest power of 7 contained in 216 ! is 34.