# Ken Ward's Mathematics Pages

## Number Theory Table of Divisibility Rules for Numbers Relatively Prime to 10

See Divisibility tests 2

NumberPlus FactorMinus Factor
312
752
918
11101
1349
15NoneNone
17125
19217
21192
23716
25NoneNone
27198
29326
31283
331023
35NoneNone
372626
39435
41374
431330
45NoneNone
473333
49544
51465
531637
55NoneNone
574040
59653
61556
631944
65NoneNone
674747
69762
71647
732251
75NoneNone
775454
79871
81738
832558
85NoneNone
876161
89980
91829
932865
95NoneNone
976868
991089
1019110
1033172
105NoneNone
1077575
1091198
111100100
1133479
115NoneNone
1178282
11912107
121109109
1233786
125NoneNone
1278989
12913116
131118118
1334093
135NoneNone
1379696
13914125
141127127
14343100
145NoneNone
147103103
14915134
151136136
15346107
155NoneNone
157110110
15916143
161145145
16349114
165NoneNone
167117117
16917152
171154154
17352121
175NoneNone
177124124
17918161
181163163
18355128
185NoneNone
187131131
18919170
191172172
19358135
195NoneNone
197138138
19920179
201181181
20361142
205NoneNone
207145145
20921188
211190190
21364149
215NoneNone
217152152
21922197
221199199
22367156
225NoneNone
227159159
22923206
231208208
23370163
235NoneNone
237166166
23924215
241217217
24373170
245NoneNone
247173173
24925224
251226226
25376177
255NoneNone
257180180
25926233
261235235
26379184
265NoneNone
267187187
26927242
271244244
27382191
275NoneNone
277194194
27928251
281253253
28385198
285NoneNone
287201201
28929260
291262262
29388205
295NoneNone
297208208
29930269
301271271
30391212
305NoneNone
307215215
30931278
311280280
31394219
315NoneNone
317222222
31932287
321289289
32397226
325NoneNone
327229229
32933296
331298298
333100233
335NoneNone
337236236
33934305
341307307
343103240
345NoneNone
347243243
34935314
351316316
353106247
355NoneNone
357250250
35936323
361325325
363109254
365NoneNone
367257257
36937332
371334334
373112261
375NoneNone
377264264
37938341
381343343
383115268
385NoneNone
387271271
38939350
391352352
393118275
395NoneNone
397278278
39940359
401361361
403121282
405NoneNone
407285285
40941368
411370370
413124289
415NoneNone
417292292
41942377
421379379
423127296
425NoneNone
427299299
42943386
431388388
433130303
435NoneNone
437306306
43944395
441397397
443133310
445NoneNone
447313313
44945404
451406406
453136317
455NoneNone
457320320
45946413
461415415
463139324
465NoneNone
467327327
46947422
471424424
473142331
475NoneNone
477334334
47948431
481433433
483145338
485NoneNone
487341341
48949440
491442442
493148345
495NoneNone
497348348
49950449
501451451
503151352
505NoneNone
507355355
50951458
511460460
513154359
515NoneNone
517362362
51952467
521469469
523157366
525NoneNone
527369369
52953476
531478478
533160373
535NoneNone
537376376
53954485
541487487
543163380
545NoneNone
547383383
54955494
551496496
553166387
555NoneNone
557390390
55956503
561505505
563169394
565NoneNone
567397397
56957512
571514514
573172401
575NoneNone
577404404
57958521
581523523
583175408
585NoneNone
587411411
58959530
591532532
593178415
595NoneNone
597418418
59960539
601541541
603181422
605NoneNone
607425425
60961548
611550550
613184429
615NoneNone
617432432
61962557
621559559
623187436
625NoneNone
627439439
62963566
631568568
633190443
635NoneNone
637446446
63964575
641577577
643193450
645NoneNone
647453453
64965584
651586586
653196457
655NoneNone
657460460
65966593
661595595
663199464
665NoneNone
667467467
66967602
671604604
673202471
675NoneNone
677474474
67968611
681613613
683205478
685NoneNone
687481481
68969620
691622622
693208485
695NoneNone
697488488
69970629
701631631
703211492
705NoneNone
707495495
70971638
711640640
713214499
715NoneNone
717502502
71972647
721649649
723217506
725NoneNone
727509509
72973656
731658658
733220513
735NoneNone
737516516
73974665
741667667
743223520
745NoneNone
747523523
74975674
751676676
753226527
755NoneNone
757530530
75976683
761685685
763229534
765NoneNone
767537537
76977692
771694694
773232541
775NoneNone
777544544
77978701
781703703
783235548
785NoneNone
787551551
78979710
791712712
793238555
795NoneNone
797558558
79980719
801721721
803241562
805NoneNone
807565565
80981728
811730730
813244569
815NoneNone
817572572
81982737
821739739
823247576
825NoneNone
827579579
82983746
831748748
833250583
835NoneNone
837586586
83984755
841757757
843253590
845NoneNone
847593593
84985764
851766766
853256597
855NoneNone
857600600
85986773
861775775
863259604
865NoneNone
867607607
86987782
871784784
873262611
875NoneNone
877614614
87988791
881793793
883265618
885NoneNone
887621621
88989800
891802802
893268625
895NoneNone
897628628
89990809
901811811
903271632
905NoneNone
907635635
90991818
911820820
913274639
915NoneNone
917642642
91992827
921829829
923277646
925NoneNone
927649649
92993836
931838838
933280653
935NoneNone
937656656
93994845
941847847
943283660
945NoneNone
947663663
94995854
951856856
953286667
955NoneNone
957670670
95996863
961865865
963289674
965NoneNone
967677677
96997872
971874874
973292681
975NoneNone
977684684
97998881
981883883
983295688
985NoneNone
987691691
98999890
991892892
993298695
995NoneNone
997698698
999100899

Ken Ward's Mathematics Pages

# Faster Arithmetic - by Ken Ward

Ken's book is packed with examples and explanations that enable you to discover more than 150 techniques to speed up your arithmetic and increase your understanding of numbers. Paperback and Kindle: