WebFind the maximum power of 15 in 100! a. 6 b. 25 c. 27 d. 24 Show Answer 5. Find the highest power of 12 that divide 49!. ... Find the highest power of 12 that divide 49!. a. 4 b. 22 c. 23 d. 26 Show Answer 6. How many … Webfact = 146, n=15 First find the prime factor of 15 that are 3 and 5 then first divide with 3 and add i.e. Applying Legendre’s formula for prime factor 3. [146/3]+[48/3]+[16/3]+[5/3]+[1/3] …
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WebSolution Verified by Toppr Correct option is B) Highest power of 2 in (150)! [ 2150]+[ 2 2150]+[ 2 3150]+[ 2 4150]+[ 2 5150]+[ 2 6150]+[ 2 7150]+... , where [] is greatest integer function. =[75]+[37.5]+[18.75]+[9.375]+[4.688]+[2.344]+[1.172]+[0.58]+... =75+37+18+9+4+2+1+0 =146 Was this answer helpful? 0 0 Similar questions WebDec 9, 2024 · The highest power of 24 in 16! is 4. Step-by-step explanation: Given, 16! We want to find highest power of 24 in 16!. Now, 16! Here we have total four 24 . So, highest power of 24 is 4. This is a problem of Algebra. Some important Algebra formulas. (a + b)² … cubitt and west estate agents waterlooville
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WebApr 12, 2024 · Highest power of 2 that divides 48 is 16. Input : n = 5. Output : 1. Highest power of 2 that divides 5 is 1. Recommended: Please try your approach on {IDE} first, before moving on to the solution. A simple solution is to try all powers of 2 one by one starting from 1, then 2, then 4 and so on. An efficient solution is based on bit magic. WebSorted by: 7. You have to compute the highest power of each prime factor of the number you want (for 24, these are 2 and 3) and then for each of these, compute how many … WebApr 7, 2024 · The exponent of any prime number p in n! is given by the formula [ n p] + [ n p 2] + [ n p 3] +..... + [ n p k] where k must be chosen such that p k + 1 > n and [.] represents the greatest integer function. Complete step by step solution: We are given a factorial 100!. We will write the given factorial in the form of prime powers as 12 = 2 2 × 3. cubitt and west goring rightmove