What is the highest power of 12 in 100 !?

48
Therefore, the exponent of 12 in $100!$ is 48. Thus, option (B) is the correct answer.

What is the largest power of 3 contained in 100?

Hence the exponent of 3 in 100! is 48.

What is the highest power of 5 in 100?

Step 2

• The highest power of 2 is 100! = = 50 + 25 + 12 + 6 + 3 +1= 97.
• And, the highest power of 5 in 100! = = 20 + 4 = 24.
• Hence, the highest power of 2 in 100! is 97 i.e. 100! contains 97 twos or and the highest power of 5 in 100! is 24 i.e. 100! Contains 24 fives or .

What is the largest power of 5 contained in 200?

Now the highest power can be calculated for 5 in 200 (which is also equal to 2). The number 5 occurs in factorization only 2 times. = 40 + 8 + 1 = 49. The correct answer is 49.

What is the highest power of 2 in 17?

The highest power of 2 in 17! is 15.

What is the largest power of 2 contained in 100?

By using formula we can write : (100!/2)+(100!/4)+(100!/8)+(100!/16)+(100!/32)+(100!/64), we can’t take 128 as it will exceed 100… So the max power of 2 will be 97..

What is the largest power of 3 contained in 200 *?

Ashutosh. 07 Jul. 0 Comments.

SJ. Suparth. 18 Dec.

Ashok. 30 Jul. 0 Comments.

Rahul. 13 Jul. 200/3+200/9+200/27+200/81=97.

KS. Kongara. 27 Jan.

KS. K. 04 Jan.

Devendra. 24 Oct. 3^4=81 and 3^5= 243 which is more than 200. so require d multiple will be 3,9.27.81.

RK. Ram. 13 Oct. (200/3)+(200/9)+(200/27)+(200/81)=97.

What is the highest power of 12 divides 54?

25
So, 54! can be said to be a multiple of (22 * 3)25. Or, the highest power of 12 that can divide 54! is 25.

What is the highest power of 30 divides 50?

So the greatest power of 30 in 50! is 12. Note: We don’t have to find the power of all prime factors of a given number. It is enough to find the greatest power of the highest prime factor in the factorial (here 5).

What is the highest power of 2 divides 200 100?

So, the highest power of 2 in 200!/100 is 195.