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if 2 devides p^2 how to proove that 2 devides p

 Sep 23, 2014

Best Answer 

 #1
avatar+26388 
+13

if 2 devides p^2 how to proove that 2 devides p

$$\boxed{ \small{\text{
Even number times even number = even number. }}
\small{\text{Example:}} \\ \quad 8 * 8 = 64}

\boxed{ \small{\text{
Odd number times odd number = odd number. }}
\small{\text{Example:}} \\ \quad 7 * 7 = 49}
\\
\\
\small{\text{
$p^2=p\times p$. if $p^2$ is even then p is even and devides 2 }}$$

 Sep 23, 2014
 #1
avatar+26388 
+13
Best Answer

if 2 devides p^2 how to proove that 2 devides p

$$\boxed{ \small{\text{
Even number times even number = even number. }}
\small{\text{Example:}} \\ \quad 8 * 8 = 64}

\boxed{ \small{\text{
Odd number times odd number = odd number. }}
\small{\text{Example:}} \\ \quad 7 * 7 = 49}
\\
\\
\small{\text{
$p^2=p\times p$. if $p^2$ is even then p is even and devides 2 }}$$

heureka Sep 23, 2014
 #2
avatar+129840 
+5

If 2 divides p2, then p2 must be even. But, if p2 is even, then p must be even, and 2 divides any even number. Thus, 2 divides p......!!!!!

 

 Sep 23, 2014

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