Math, asked by bijukumarmnj4833, 8 months ago

Count the numbers of factors for composite numbers others than perfect square is that even or odd?

Answers

Answered by amitnrw
2

Given :  number of factors for composite numbers other than perfect squares

To find : umber of factors id odd or even

Solution:

composite numbers that are perfect square has odd number of factors

composite numbers other than the perfect square have even number of factor

Number     Factor               Counts        Even /Odd

  6                1 , 2 , 3 , 6           4                EVEN

  8                1, 2 , 4 , 8             4                EVEN

 10              1 , 2 , 5 , 10            4                EVEN

 12              1 , 2 , 3 , 4 , 6 , 12   6              EVEN

14                1,   2 , 7  , 14            4              EVEN

15                1 , 3 , 5 , 15              4             EVEN

18                1, 2 , 3 , 6 , 9 , 18     6            EVEN

number of factors for composite numbers other than perfect squares is EVEN

for perfect Square

Number     Factor               Counts        Even /Odd

 4               1 , 2 ,4                    3                ODD

 9              1 , 3 , 9                   3               ODD

16              1, 2 , 4 , 8, 16         5                ODD

number of factors for composite that are  perfect squares is ODD

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