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avatar+81 

Find the largest prime factor of 451^2-137^2 without using a calculator.

 Nov 6, 2018
 #1
avatar+98044 
+2

451^2 - 137^2  =

 

( 451 - 137) (451 + 137)  =

 

( 314) ( 588 )

 

[ 157 * 2 ]  [ 294 * 2 ]

 

[ 157 * 2 ] [ 147 * 2 * 2 ]

 

[ 157 * 2 ]  [ 49 * 3 * 2 * 2 ]

 

[ 157 * 2 ] [  7 * 7 * 3 * 2 * 2 ]

 

157 * 7^2 * 2^3 * 3

 

So.....157 is the largest prme factor

 

 

cool cool cool

 Nov 6, 2018
 #2
avatar+567 
-1

Nice, but you spelled prime wrong ;)

CoolStuffYT  Nov 10, 2018

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