What is the power of 2 in 100 factorial?

(read factorial 100). By formula, exponent of 2 and 3 in 100! is 97 and 48 respectively. To make one 12, we need two 2’s and one 3. The total number of 2’s is 97, and 3’s is 48.

What is the highest power of 2 in 200 factorial?

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

What is the largest power of 5 contained in 200 factorial?

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 largest power of 200?

What is the highest power of 2 divided by 50 factorial?

Answer: highest power of 2 in 50! is 47.

What is the highest power of contained in 200?

What is the highest power of 3 in 200?

Ashutosh. 07 Jul. 0 Comments.

What is the highest power of 72 in 200 factorial?

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

How do you find the highest power of a factorial?

Therefore, only find the highest power of the greatest prime factor in the factorial . If the number, whose factorial is given, is small, you can count manually to find the highest power. If the number, whose factorial is given, is large, then use the division method.

What is the highest power of 2 and 5 in 100?

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. We know that we need one 2 and one 5 to make one 10.

What is the largest power of 2 that divides 120?

Given two numbers, fact and n, find the largest power of n that divides fact! (Factorial of fact). Input : fact = 5, n = 2 Output : 3 Explanation: Value of 5! is 120. The largest power of 2 that divides 120 is 8 (or 2 3 Input : fact = 146, n = 15 Output : 35

How do you find the maximum power of a prime number?

Calculation of the maximum power of a prime number in a factorial simply involves using the formula described above. Example 1: Highest power of 3 in 15! => [ 15 3] + [ 15 3 2] + [ 15 3 3] + … Example 2: Maximum power of 2 in 48! => [ 48 2] + [ 48 2 2] + [ 48 2 3] + [ 48 2 4] + [ 48 2 5] + [ 48 2 6] + …