Question

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一張是題目 一張是詳解
不太懂詳解的意思 求解 謝謝²

19下列選項中所表示的數,哪一個與252的最大公因數為42?
(A)2x3x5°x72
(B)2 x32x5x72
(C)2°x3x5°x7
000000000
CODE
(D)22x32x5x7

.
9.252 = 2 x 32 x 7:42 = 2 X3x7
(A) (2 x 3 x 52 x 7º252 ) = (2x 3 x 5² x 7º , 22 x 39 x 7)
= 2 x 3 x 7 = 42
(B)(2x 3 x 5 x 72, 252)=(2 x 3² x 5 x 7 , 22 x 39 x 7)
= 2 x 3' 7 = 126
(C)( 2² x 3 x 52 x 7 · 252 ) = ( 2 x 3 x 5° x 7p: 2 x 3 x 7)
= 22 x 3 x 7 = 84
D) ( 22 x 32 x 5 x 7, 252 ) = ( 22 x 32 x 5 x 7, 2' 3² x 7)
= 2 x 39 x 7 = 252
故選(A)
1
=

Answer 1

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解答是針對ABCD的選項做因式分解然後再和252（因式分解）求最大公因數
（）即為求最大公因數的意思