Question

the numbers 1,4,9 and 16 all have and odd number of factors find the next three numbers which have an odd number of factors

Answer 1

Answer:25;36;49

Step-by-step explanation:1²/2²/3²/4²/5²/6²/7²

Answer 2

Hi,

Explanation:

Every square of a number has an odd number of factors

`1^2=1\ \Longrightarrow\ div\{ 1 \} =\{1\}\\2^2=4\ \Longrightarrow\ div\{ 4 \} =\{1,2,4\}\\3^2=9\ \Longrightarrow\ div\{ 9 \} =\{1,3,9\}\\4^2=16\ \Longrightarrow\ div\{16 \} =\{1,2,4,8,16 \}\\5^2=25\ \Longrightarrow\ div\{25 \} =\{1,5,25 \}\\6^2=36\ \Longrightarrow\ div\{36 \} =\{1,2,3,4,6,9,12,18,36 \}\\7^2=49\ \Longrightarrow\ div\{49 \} =\{1,7,49 \}\\`