How do you find the highest power of a number in another number?

To calculate the highest power of composite number in a factorial, we first express the composite number as a product of primes. Among these prime factors, the highest power of the largest prime factor will be equal to the highest power of that composite number.

How do you find the highest power of a number?

Solution
  1. Prime factorize the given number. So prime factorization of 10 = 2*5. So, now we know that to make one 10 we need one 2 and one 5. So, in our last step, let's see how many 10s we can make in 100!
  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.


What is the highest power of 7 in 50 !?

Hence the highest power of 7 that can divide 5000! without leaving a remainder is 832.


What is the maximum power of 2 in 1400?

Therefore, the highest power of 2 in 1440 is 5.

What is the highest power of 2 in the expression 1800 * 25?

Hence, the highest power of 2 in the expression 1800 x 25 x 4⁸ x 21² x 45 ⁽⁻²⁾ is 19.


Number Theory Problems - Factorials - Highest Power of a Number in a Factorial



What is the highest 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 5 contained in 2001 7?

Answer. hence, highest power of 5 in 2000 is 5^3 and in 2001 it is 5^0.

What is the highest power of 4 in 50?

Answer: Highest power of 4 in 50! is 47.

What is the highest power of 12 that divides 54 !?

Or, the highest power of 12 that can divide 54! is 25.


What is the highest power of 72 in 200?

The Largest power of 72 contained in 200! is 2.

What is the highest power of 15 in 100?

So the highest power on 15 in $100!$ is 24 and the correct option is B.

What is the highest power of 7 in 5000 !?

Answer Submitted

Thus, the highest power of 7 that can divide 5000! without leaving a remainder is 832.

What is the largest power of 6 in 50 !?

22 is the correct answer.


What is the highest power of 12 in 100 !?

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

What is the highest power of 5 contained in 80 !?

Expert-verified answer

Heya...!!!! Hence, 10 is the highest power of 5.

What is the highest power of 72 in 100?

Find the highest power of 72 in 100! 72 = 8 × 9.

What is the highest power of 8 in 80?

Answer. I think nine is the highest power of 8 contained in 80!


What is the highest power of 3 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 largest power of 20 contained in 100 !?

Hence, the largest power of $ 20 $ contained in $ 100 $ factorial is $ 24 $ . So, the correct answer is “24”.

What is the highest power of 2 in 200?

1 Answer. Exponent of 2 in 200!. ∴ The largest power of 2 is 100.

What is the highest power of 2 that divides exactly into 100 factorial?

Answer: the same logic can be applied to find the highest power of any number x that divides n! completely or evenly. therefore, the highest power of 2 that divides 100! is 2^97.


What is the greatest positive power of 5 divides 30?

Hence, the greatest positive power of 5 that divides 30! exactly is7.

How do you calculate the power of a number?

Example 1: Calculate power of a number using a while loop

Using the while loop, we keep on multiplying the result by base until the exponent becomes zero. In this case, we multiply result by base 4 times in total, so result = 1 * 3 * 3 * 3 * 3 = 81.