# totient of 143

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Calculate φ(143)

Step 1: calculate factors for 143
Using our factor calculator, we see that the factors for 143 are 1,11,13,143

Step 2: Find the factors of all numbers less than 143 which have only 1 as a common factor:
NumberFactor ListMatching Factors with 143Add to Totient List?
111Y
21,21Y
31,31Y
41,2,41Y
51,51Y
61,2,3,61Y
71,71Y
81,2,4,81Y
91,3,91Y
101,2,5,101Y
111,111,11N
121,2,3,4,6,121Y
131,131,13N
141,2,7,141Y
151,3,5,151Y
161,2,4,8,161Y
171,171Y
181,2,3,6,9,181Y
191,191Y
201,2,4,5,10,201Y
211,3,7,211Y
221,2,11,221,11N
231,231Y
241,2,3,4,6,8,12,241Y
251,5,251Y
261,2,13,261,13N
271,3,9,271Y
281,2,4,7,14,281Y
291,291Y
301,2,3,5,6,10,15,301Y
311,311Y
321,2,4,8,16,321Y
331,3,11,331,11N
341,2,17,341Y
351,5,7,351Y
361,2,3,4,6,9,12,18,361Y
371,371Y
381,2,19,381Y
391,3,13,391,13N
401,2,4,5,8,10,20,401Y
411,411Y
421,2,3,6,7,14,21,421Y
431,431Y
441,2,4,11,22,441,11N
451,3,5,9,15,451Y
461,2,23,461Y
471,471Y
481,2,3,4,6,8,12,16,24,481Y
491,7,491Y
501,2,5,10,25,501Y
511,3,17,511Y
521,2,4,13,26,521,13N
531,531Y
541,2,3,6,9,18,27,541Y
551,5,11,551,11N
561,2,4,7,8,14,28,561Y
571,3,19,571Y
581,2,29,581Y
591,591Y
601,2,3,4,5,6,10,12,15,20,30,601Y
611,611Y
621,2,31,621Y
631,3,7,9,21,631Y
641,2,4,8,16,32,641Y
651,5,13,651,13N
661,2,3,6,11,22,33,661,11N
671,671Y
681,2,4,17,34,681Y
691,3,23,691Y
701,2,5,7,10,14,35,701Y
711,711Y
721,2,3,4,6,8,9,12,18,24,36,721Y
731,731Y
741,2,37,741Y
751,3,5,15,25,751Y
761,2,4,19,38,761Y
771,7,11,771,11N
781,2,3,6,13,26,39,781,13N
791,791Y
801,2,4,5,8,10,16,20,40,801Y
811,3,9,27,811Y
821,2,41,821Y
831,831Y
841,2,3,4,6,7,12,14,21,28,42,841Y
851,5,17,851Y
861,2,43,861Y
871,3,29,871Y
881,2,4,8,11,22,44,881,11N
891,891Y
901,2,3,5,6,9,10,15,18,30,45,901Y
911,7,13,911,13N
921,2,4,23,46,921Y
931,3,31,931Y
941,2,47,941Y
951,5,19,951Y
961,2,3,4,6,8,12,16,24,32,48,961Y
971,971Y
981,2,7,14,49,981Y
991,3,9,11,33,991,11N
1001,2,4,5,10,20,25,50,1001Y
1011,1011Y
1021,2,3,6,17,34,51,1021Y
1031,1031Y
1041,2,4,8,13,26,52,1041,13N
1051,3,5,7,15,21,35,1051Y
1061,2,53,1061Y
1071,1071Y
1081,2,3,4,6,9,12,18,27,36,54,1081Y
1091,1091Y
1101,2,5,10,11,22,55,1101,11N
1111,3,37,1111Y
1121,2,4,7,8,14,16,28,56,1121Y
1131,1131Y
1141,2,3,6,19,38,57,1141Y
1151,5,23,1151Y
1161,2,4,29,58,1161Y
1171,3,9,13,39,1171,13N
1181,2,59,1181Y
1191,7,17,1191Y
1201,2,3,4,5,6,8,10,12,15,20,24,30,40,60,1201Y
1211,11,1211,11N
1221,2,61,1221Y
1231,3,41,1231Y
1241,2,4,31,62,1241Y
1251,5,25,1251Y
1261,2,3,6,7,9,14,18,21,42,63,1261Y
1271,1271Y
1281,2,4,8,16,32,64,1281Y
1291,3,43,1291Y
1301,2,5,10,13,26,65,1301,13N
1311,1311Y
1321,2,3,4,6,11,12,22,33,44,66,1321,11N
1331,7,19,1331Y
1341,2,67,1341Y
1351,3,5,9,15,27,45,1351Y
1361,2,4,8,17,34,68,1361Y
1371,1371Y
1381,2,3,6,23,46,69,1381Y
1391,1391Y
1401,2,4,5,7,10,14,20,28,35,70,1401Y
1411,3,47,1411Y
1421,2,71,1421Y

The following numbers only had 1 as a common factor
1,2,3,4,5,6,7,8,9,10,12,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,67,68,69,70,71,72,73,74,75,76,79,80,81,82,83,84,85,86,87,89,90,92,93,94,95,96,97,98,100,101,102,103,105,106,107,108,109,111,112,113,114,115,116,118,119,120,122,123,124,125,126,127,128,129,131,133,134,135,136,137,138,139,140,141,142
From our list above, we see that φ(143) = 120