WebJan 7, 2024 · So, the number of positive divisors of 14000 = ( 4 +1) ( 3 +1) ( 1 +1) = (5) (4) (2) = 40 -----ONTO the question-------------------------- 16,000 = (2^ 7 ) (5^ 3) So, the number of positive divisors of 16,000 = ( 7 +1) ( 3 +1) = (8) (4) = 32 Cheers, Brent _________________ Brent Hanneson - founder of Greenlight Test Prep General Discussion WebProblem. For some positive integer , the number has positive integer divisors, including and the number .How many positive integer divisors does the number have?. Solution 1. Since …
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WebBy the way, the maximum number of divisors is 64. There are two numbers between 1 and 10000 that have 64 divisors, 7560 and 9240. The program will output the first of these. (It would output the second if the test " if (divisorCount > maxDivisors) " were changed to " if (divisorCount >= maxDivisors) ". Do you see why?) The Solution WebMar 22, 2014 · It is easy to see why this formula works from a combinatorial point of view, the divisors of N are also of the form p 1 b 1 p 2 b 2 p 3 b 3... p n b n, with b i ≤ a i for every i, but this time some (or all) of the b i can be 0, this mean we can pick a i + 1 values for b i, from 0 to a i. In your case 7! = 2 4 3 2 5 1 7 1 so it has ( 4 + 1 ... days of the week for preschoolers
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WebAnswer (1 of 2): The prime factorization of 7200 is (2^5)(3^2)(5^2). Hence the number of positive divisors of 7200, denoted by tau(7200)=(5+1)(2+1)(2+1) = 54. Note that the number of divisors only depends on the exponents on the prime divisors, and not on the primes themselves. The above formul... WebSep 29, 2013 · How many divisors does 3600 have? Warm-upBasics of divisorsTaking equations mod n Divisors of 10000 We can arrange the divisors of 10000 in a square grid: 1 2 4 8 16 5 10 20 40 80 25 50 100 200 40 125 250 … WebDivisors of the Positive Integer 600 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600 Sum of all the Divisors of 600, including itself 1860 Sum of … days of the week free clip art