ACUKIOSITYIH NUMBERS

Ashburton Guardian, Volume VII, Issue 2055, 5 February 1889, Page 3

ACUKIOSITYIH NUMBERS

+ — A. fMT onrloDi nomher la 142,857, ' which «wltlplled by 1, 2, 3, 4, 6, or 6, g| VM th© earns figures In the same order, beginning at * different point ; bat If Multiplied by 7 Rives all nines : Multiplied fcj 1 it equate 142 857, multiplied by 2 ft equals 285714; multiplied by 3 mob's 428,751; multiplied by 4, (t equili 571,428 ; multiplied by C equate 714 285, multiplied by 6 equals 857,142, multiplied by 7 equals 999,999. Multiply 142,857 by 8 and you have 1,142,856. Then add the first figure to the last and you have 142,857, the original number, the figures exactly the urns as at the •tart. Another mathematical wonder Is Abe following : It la discovered that the flOUlpliastlon of 987654321 by 45 *W«6 44, 44, 44, 44, 44, 445. Reversing tthe order of the digits and multiplying 1 S 456789 by 45 we get a •remit equally carious, 5,555,555 505' If we take 1234 56789 as ■the multiplicand, and Interchanging the figures of 45 take 54 M the multiplier, 6fi66 668,606. Betnrnlag to the maltl«iHe»nd a 987654321 and taking 54 as {h. «©4tlplier again, we get 53,333,333,334 —all exempt the first and lait figures, whlah torn"**** read 54— the multiplier. Sitg tie I.™ » nltl P!m d ' BDd 27 ' J be half of of 54, as **S™ 1 gJ ipli f 1 r^ w0 * et f product of 26,666.^.* 67 -» » « ■ ex « Dt the firat and lait figu^. * hl °* togjUw road 27, the multiplier. ** w taterchang. ehanglng the order of the naiog 72 aa the multiplier aud 987654321 m the multiplicand we get a piquet of 71,111411.112- all l'e czoept the fii^ * nd last figurof,t. which read together give . z > the multiplier.