# 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.

## 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 !?

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

## 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 !?

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.