Question

The sum of the reciprocals of
all the positive integers that
divide 24 is​

Answer 1

Answer:

5/2

Step-by-step explanation:

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Answer 2

Answer:

There are a total of eight factors of 24, they are 1, 2, 3, 4, 6, 8, 12 and 24. Pair factors of 24 are the numbers, which gives the result as 24 when multiplied together in pairs.

Step-by-step explanation:

Step : 1  Generally the sum of the reciprocals of the divisors of n is equal to σ(n)n where σ is the sum of divisors function. This quantity is sometimes referred to as the abundancy ratio or abundancy index of n.All the factors of 12 are 1, 2, 3, 4, 6, 12. Therefore, the sum of all these factors is 1 + 2 + 3 + 4 + 6 + 12 = 28.

Step : 2  For a number x, the reciprocal will be 1/x or also can be written as x-1. For example, if 7 is the number, then the reciprocal will be 1/7. For a fraction x/y, the reciprocal will be y/x. For example, if 3/5 is the given fraction, then its reciprocal will be 5/3.

Step : 3 The optic equation requires the sum of the reciprocals of two positive integers a and b to equal the reciprocal of a third positive integer c. All solutions are given by a = mn + m2, b = mn + n2, c = mn. This equation appears in various contexts in elementary geometry.

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