WebJan 24, 2024 · The highest power of 5 less than 518 is 5 3 = 125. Therefore the highest power of 5 divising 518! is [ 518 5] + [ 518 25] + [ 518 125] = 103 + 20 + 4 = 127. Share Cite Follow answered Jan 24, 2024 at 10:38 Dietrich Burde 122k 8 78 144 You beat me on time. I starded writing but then I realized I did not know how to implement the floor function. Webfor this we have to calculate the prime factors of 20 = 5*2*2 highest prime factor is 5, so the no. of power of 20 will be depend on power of 5 so power of 5 100/5 = 20 100/25 = 4 so the power of 5 will be 20+4 = 24 and => power of 20 = 24
What is the power of 20 in 100 factorial - m4maths.com
WebFind the largest power of 20 contained in 100 factorial. 20 = 5 × 2 × 2. The highest prime factor 20 is 5. So, number of power of 20 will only depend on power of 5. Also, 100 5 = 20, 100 25 = 4. Therefore, the power of 5 is 20 + 4 = 24. Hence, the largest power of 20 contained in 100 factorial is 24. WebInput : 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. Recommended: Please try … bc規格とは
Find the highest power of 25 in 100 - BYJU
WebRead. Edit. View history. In arithmetic and algebra, the fifth power or sursolid [1] of a number n is the result of multiplying five instances of n together: n5 = n × n × n × n × n. … WebAug 29, 2024 · Solution: In order to solve this we have to calculate the prime factors of 20 i.e 5*2*2. highest prime factor is 5, so the no. of power of 20 will solely depend on power of 5. Now, 100/5 = 20 and also 100/25 = 4. so the power of 5 will be 20+4 = 24. and => power of 20 = 24. Therefore, the largest power of 20 contained in 100 factorial is 24. [Ans] WebJan 5, 2015 · What is the largest power of 5! that can divide 41!? A. 9 B. 12 C. 13 D. 18 E. 40. GMAT Club Forum ... $250 Bonus Offer. GMAT Tutoring Deals. $500 Prodigy Loan Cashback. ADMISSION CONSULTING. Admissionado. ... 41! contains \(5*10*15*20*25*30*35*40\) or \(5*5*5*5*5^2*5*5*5=5^9\) Other way is … bc自由学園 戦車道チーム