Find the properties of numbers that the number oof factor s come
as an odd number
Answers
Answer:
Step-by-step explanation:
Given : number of factors come as an odd number
To Find : the properties of number
Solution:
In general factor are in pairs
Like for a number n
n = a * b = c * d = _____
Hence factors are in even numbers
but if there is one factor
n = k * k also with other factor
Then this will be 1 factor ( odd number )
even + odd = odd
Hence total number of factors will be odd
n = k ²
Hence number must be a perfect square
properties of number that the number of factors come as an odd number is that Number must be a perfect square
For example
1 = 1² has only factor 1
4 = 2² has 3 factors 1 , 2 , 4
9 = 3² has 3 factor 1 , 3 , 9
16 = 4² has 5 factors 1 , 2 , 4 , 8 , 16
so Perfect square has odd number of factors