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Find the product of two numbers Now reverse the digits and find the product being the same?
Wiki User
∙ 14y ago
The trivial answer is that any two numbers that reverse to each other will have this property. For example:
19 * 91 = 91 * 19
237 * 732 = 732 * 237
etc.
But apart from those, here are the two-digit pairs where this works:
12*42 = 21*24 = 504
12*63 = 21*36 = 756
12*84 = 21*48 = 1008
13*62 = 31*26 = 806
13*93 = 31*39 = 1209
14*82 = 41*28 = 1148
21*24 = 12*42 = 504
21*36 = 12*63 = 756
21*48 = 12*84 = 1008
23*64 = 32*46 = 1472
23*96 = 32*69 = 2208
24*63 = 42*36 = 1512
24*84 = 42*48 = 2016
26*31 = 62*13 = 806
26*93 = 62*39 = 2418
28*41 = 82*14 = 1148
31*39 = 13*93 = 1209
32*46 = 23*64 = 1472
32*69 = 23*96 = 2208
34*86 = 43*68 = 2924
36*42 = 63*24 = 1512
36*84 = 63*48 = 3024
39*62 = 93*26 = 2418
42*48 = 24*84 = 2016
43*68 = 34*86 = 2924
46*96 = 64*69 = 4416
48*63 = 84*36 = 3024
64*69 = 46*96 = 4416
Here are the two-digit numbers paired with three-digit numbers where this works:
12*231 = 21*132 = 2772
12*462 = 21*264 = 5544
12*693 = 21*396 = 8316
13*341 = 31*143 = 4433
13*682 = 31*286 = 8866
14*451 = 41*154 = 6314
15*561 = 51*165 = 8415
16*671 = 61*176 = 10736
17*781 = 71*187 = 13277
18*891 = 81*198 = 16038
21*132 = 12*231 = 2772
21*264 = 12*462 = 5544
21*396 = 12*693 = 8316
23*352 = 32*253 = 8096
24*231 = 42*132 = 5544
24*462 = 42*264 = 11088
24*693 = 42*396 = 16632
25*572 = 52*275 = 14300
26*341 = 62*143 = 8866
26*682 = 62*286 = 17732
27*792 = 72*297 = 21384
28*451 = 82*154 = 12628
31*143 = 13*341 = 4433
31*286 = 13*682 = 8866
32*253 = 23*352 = 8096
34*473 = 43*374 = 16082
35*583 = 53*385 = 20405
36*231 = 63*132 = 8316
36*462 = 63*264 = 16632
36*693 = 63*396 = 24948
39*341 = 93*143 = 13299
39*682 = 93*286 = 26598
41*154 = 14*451 = 6314
42*132 = 24*231 = 5544
42*264 = 24*462 = 11088
42*396 = 24*693 = 16632
43*374 = 34*473 = 16082
45*594 = 54*495 = 26730
46*352 = 64*253 = 16192
48*231 = 84*132 = 11088
48*462 = 84*264 = 22176
48*693 = 84*396 = 33264
51*165 = 15*561 = 8415
52*275 = 25*572 = 14300
53*385 = 35*583 = 20405
54*495 = 45*594 = 26730
61*176 = 16*671 = 10736
62*143 = 26*341 = 8866
62*286 = 26*682 = 17732
63*132 = 36*231 = 8316
63*264 = 36*462 = 16632
63*396 = 36*693 = 24948
64*253 = 46*352 = 16192
68*473 = 86*374 = 32164
69*352 = 96*253 = 24288
71*187 = 17*781 = 13277
72*297 = 27*792 = 21384
81*198 = 18*891 = 16038
82*154 = 28*451 = 12628
84*132 = 48*231 = 11088
84*264 = 48*462 = 22176
84*396 = 48*693 = 33264
86*374 = 68*473 = 32164
93*143 = 39*341 = 13299
93*286 = 39*682 = 26598
96*253 = 69*352 = 24288
Here are the three-digit numbers where this works:
102*402 = 201*204 = 41004
102*603 = 201*306 = 61506
102*804 = 201*408 = 82008
103*602 = 301*206 = 62006
103*903 = 301*309 = 93009
104*802 = 401*208 = 83408
112*422 = 211*224 = 47264
112*633 = 211*336 = 70896
112*844 = 211*448 = 94528
113*622 = 311*226 = 70286
113*933 = 311*339 = 105429
114*822 = 411*228 = 93708
122*442 = 221*244 = 53924
122*663 = 221*366 = 80886
122*884 = 221*488 = 107848
123*642 = 321*246 = 78966
123*963 = 321*369 = 118449
124*842 = 421*248 = 104408
132*462 = 231*264 = 60984
132*693 = 231*396 = 91476
133*662 = 331*266 = 88046
133*993 = 331*399 = 132069
134*862 = 431*268 = 115508
142*482 = 241*284 = 68444
143*682 = 341*286 = 97526
144*882 = 441*288 = 127008
201*204 = 102*402 = 41004
201*306 = 102*603 = 61506
201*408 = 102*804 = 82008
203*604 = 302*406 = 122612
203*906 = 302*609 = 183918
204*603 = 402*306 = 123012
204*804 = 402*408 = 164016
206*301 = 602*103 = 62006
206*903 = 602*309 = 186018
208*401 = 802*104 = 83408
211*224 = 112*422 = 47264
211*336 = 112*633 = 70896
211*448 = 112*844 = 94528
213*624 = 312*426 = 132912
213*936 = 312*639 = 199368
214*824 = 412*428 = 176336
221*244 = 122*442 = 53924
221*366 = 122*663 = 80886
221*488 = 122*884 = 107848
223*644 = 322*446 = 143612
223*966 = 322*669 = 215418
224*633 = 422*336 = 141792
224*844 = 422*448 = 189056
226*311 = 622*113 = 70286
226*933 = 622*339 = 210858
228*411 = 822*114 = 93708
231*264 = 132*462 = 60984
231*396 = 132*693 = 91476
233*664 = 332*466 = 154712
233*996 = 332*699 = 232068
234*864 = 432*468 = 202176
241*284 = 142*482 = 68444
243*684 = 342*486 = 166212
244*663 = 442*366 = 161772
244*884 = 442*488 = 215696
246*321 = 642*123 = 78966
246*963 = 642*369 = 236898
248*421 = 842*124 = 104408
264*693 = 462*396 = 182952
266*331 = 662*133 = 88046
266*993 = 662*399 = 264138
268*431 = 862*134 = 115508
286*341 = 682*143 = 97526
288*441 = 882*144 = 127008
301*309 = 103*903 = 93009
302*406 = 203*604 = 122612
302*609 = 203*906 = 183918
304*806 = 403*608 = 245024
306*402 = 603*204 = 123012
306*804 = 603*408 = 246024
309*602 = 903*206 = 186018
311*339 = 113*933 = 105429
312*426 = 213*624 = 132912
312*639 = 213*936 = 199368
314*826 = 413*628 = 259364
321*369 = 123*963 = 118449
322*446 = 223*644 = 143612
322*669 = 223*966 = 215418
324*846 = 423*648 = 274104
331*399 = 133*993 = 132069
332*466 = 233*664 = 154712
332*699 = 233*996 = 232068
334*866 = 433*668 = 289244
336*422 = 633*224 = 141792
336*844 = 633*448 = 283584
339*622 = 933*226 = 210858
342*486 = 243*684 = 166212
344*886 = 443*688 = 304784
366*442 = 663*244 = 161772
366*884 = 663*488 = 323544
369*642 = 963*246 = 236898
396*462 = 693*264 = 182952
399*662 = 993*266 = 264138
402*408 = 204*804 = 164016
403*608 = 304*806 = 245024
406*906 = 604*609 = 367836
408*603 = 804*306 = 246024
412*428 = 214*824 = 176336
413*628 = 314*826 = 259364
422*448 = 224*844 = 189056
423*648 = 324*846 = 274104
426*936 = 624*639 = 398736
432*468 = 234*864 = 202176
433*668 = 334*866 = 289244
442*488 = 244*884 = 215696
443*688 = 344*886 = 304784
446*966 = 644*669 = 430836
448*633 = 844*336 = 283584
466*996 = 664*699 = 464136
488*663 = 884*366 = 323544
604*609 = 406*906 = 367836
624*639 = 426*936 = 398736
644*669 = 446*966 = 430836
664*699 = 466*996 = 464136
Wiki User
∙ 9y ago
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