Explain why 49*7*13+7 is a composite Number

Asked by Porwal_kumudini | 1st Oct, 2015, 08:36: AM

Expert Answer:

C o n s i d e r space t h e space e x p r e s s i o n comma space 49 cross times 7 cross times 13 plus 7 T h u s comma space 49 cross times 7 cross times 13 plus 7 equals 7 cross times 7 cross times 7 cross times 13 plus 7 space space space space space space space space space space space space space space space space space space space space space space equals 7 open parentheses 7 cross times 7 cross times 13 plus 1 close parentheses space space space space space space space space space space space space space space space space space space space space space space equals 7 open parentheses 637 plus 1 close parentheses space space space space space space space space space space space space space space space space space space space space space space equals 7 open parentheses 638 close parentheses space space space space space space space space space space space space space space space space space space space space space space equals 2 cross times 7 cross times 11 cross times 29 S i n c e space t h e space p r i m e space f a c t o r i z a t i o n space o f space t h e space n u m b e r space 49 cross times 7 cross times 13 plus 7 equals 4466 space i s space h a v i n g space m o r e space t h a n space o n e space f a c t o r space o t h e r space t h a n space 1 comma space w e space c a n space s a y space t h a t space 4466 space i s space a space c o m p o s i t e space n u m b e r.

Answered by Vimala Ramamurthy | 1st Oct, 2015, 11:03: AM