What Type Of Number Has An Odd Number Of Factors? Give Examples

Question

What Type Of Number Has An Odd Number Of Factors? Give Examples

3 Answers

Answer Question

Answer 1

Numbers which are only divisible by odd numbers like 1 9, 25, 49, 81, 121, 169, 225 and so on have a Odd Number Of Factors. Such numbers are called perfect squares.

like these numbers have following factors
9 has 1, 3 and 9
25 has 1, 5 ans 25
49 has 1, 7 and 49
81 has, 1, 3, 27, 9 and 81
121 has 1, 11 and 121 etc.

So only the perfect squares have odd number of factors.

Answer 2

Anonymous answered

Perfect Square:

4= 1,2,4
9=1,3,9
16=1,2,4,8,16
25=

Answer 3

A perfect square has an odd number of factors. Example 48 is divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36 When the number is NOT a perfect square, every divisor that is greater than the square root is matched by one that is less than the square root. When the number IS a perfect square, that matching is true for all but the square root of the number. It is matched only by itself, so the number of divisors is odd.