Maths: Factor

2011-05-29 2:24 am
Without using calculator, find a factor of 1464101210001, such that it lies between 1210000 and 1220000.

回答 (1)

2011-05-29 3:01 am
✔ 最佳答案
1464101210001= 14641 0000 0000 + 121 0001= 121 0000² + 121 0000 + 1= 121 0000² + 2(121 0000) + 1 - 121 0000 = 121 0001² - 1100²= (121 0001 + 1100) (121 0001 - 1100) = 121 1101 (121 0001 - 1100) The required factor is 1211101 .


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