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FIND THE NO OF PERFECT DIVISORS 9!

FIND THE NO OF PERFECT DIVISORS 9!

Grade:10

1 Answers

Adhiraj Gautam
16 Points
10 years ago

The prime factorisation of 9 => 3^2

The number of perfect divisors of 9 = (2 + 1) - 2 = 1

Here, the first 2 is the exponent of 3 (the only prime in the factorisation of 9. The perfect divisors exclude 1 and 9 itself, so I subtracted 2 from the total number of divisors.

Similarly, the number of perfect divisors of 28 => 2^2 * 7 => (2 + 1)(1 + 1) - 2 = 4

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