WebJun 3, 2015 · I know that total number of divisor of a number n = p 1 a p 2 b p 3 c is ( a + 1) ∗ ( b + 1) ∗ ( c + 1) where a, b, c are the powers of a number n and 1 < n < 100000. But how to calculate total number of divisiors for n! algebra-precalculus number-theory elementary-number-theory factorial prime-factorization Share Cite Follow 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...
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WebHow many divisors does it have? Explain your answer using the multiplicative principle. The number 735000 factors as 23⋅3⋅54⋅72. How many divisors does it have? Explain your answer using the multiplicative principle. Question. The number 735000 factors as 2 3 ⋅3⋅5 4 ⋅7 2. How many divisors does it have? WebThe divisors or factors of 600 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200 and 300 The number 600 has 23 divisors. Calculadora de Divisors … magicgrid methodology
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WebHow many divisors does it have? 20 Could you use this reasoning to show that a number is a perfect square if and only if it has an odd number of divisors? Show transcribed image text Expert Answer Transcribed image text: 2.a The number 360 = 2*2*2*3*3*5. WebCount(d(N)) is the number of positive divisors of n, including 1 and n itself. σ(N) is the Divisor Function. It represents the sum of all the positive divisors of n, including 1 and n itself. s(N) is the Restricted Divisor Function. It represents the sum of the proper divisors of n, excluding n itself. For a Prime Number, Count(d(N))=2. The ... http://www.positiveintegers.org/IntegerTables/6001-6100 magic grill garwood nj