Page 76 - Numbertheory

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.1 6 52 .5 6 5
.1 6 54 .5
6 53
983 + 532 .1 6
532
6
.3+1= 4

N 2564 × 6425 = N 2 [AMC10B 2002] ( )

28 ( ) N.
21 ( ) 14 ( ) 7 ()

( ). 564 ×825 2 = N 2 :( )
. N = 564 × 825 = 564 × 275 = 211 ×1064 = 2048×1064
. 2 + 0 + 4 + 8 = 14 N

2002 P [Aust.MC 2002] ( )
Q . 18
SQ RP

2002 ( ) S .R
180 ( ) 18 ( ) 9 ()

.Q ≤ 9× 2002 = 18018 : ()
.5 Q
. R ≤ 9×5 = 45
2R

. 3 + 9 = 12 R . R ≤ 45

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