Question

初中代数题

2的48次方再减1，能被60到70间的两整数整除，术这两个数

Answer 1

2^48-1
=(2^24+1)(2^24-1)
=(2^24+1)(2^12+1)(2^12-1)
=(2^24+1)(2^12+1)(2^6+1)(2^6-1)
=(2^24+1)(2^12+1)*65*63
所辩汪以携陪仔两个乱念数是65和63

Answer 2

2^6+1
2^6-1

65
63

因式分解