Question

which of the following is prime number a) 263 b) 331 c) 1113 d) 3417

Answer 1

$\underline{\pink{Prime \: number :}}$

The natural number greater than 1 is said to be a prime number,if it has only two factors 1 and itself.

$a) 263$

$Factors \: of \: 263 = \{ 1,263 \}$

$\therefore \pink{ (263 \:is \:a \: Prime \: number ) }$

$b) 331$

$Factors \: of \: 331 = \{ 1, 331 \}$

$\therefore \pink{ ( 331\:is \: a \: Prime \: number ) }$

$c) 1113$

$Factors \: of \: 1113 = \{ 1, 3,7,53,1113 \}$

$It \:has \:more \:than \: two \: Factors .$

$\therefore \red{ ( 1113\:is \:not \: a \: Prime \: number ) }$

$d) 3417$

$Factors \: of \: 3417= \{ 1, 3,17,51,67,201,,1139,3417 \}$

$It \:has \:more \:than \: two \: Factors .$

$\therefore \red{ ( 3417\:is \: a \: Composite \: number ) }$

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