Question

EXPLAIN WHETHER THE NUMBER 3*5*13*46+23 IS A PRIME NMBER OR A COMPOSITE NUMBER

Answer 1

$= 23(3 \times 5 \times 13 \times 2 + 1) \\ = 23(390 \times + 1) \\ = 23 \times 391$
the no. has more than 2 factors i.e. 23 and 391 so it is a composite no.

Answer 2

--------------------------------------------------------------------------------------------------------

= 3 * 5 * 13 * 46 + 23

= 23 ( 3 * 5 * 13 * 2 + 1 )

= 23 ( 390 + 1 )

= 23 ( 391 )

= 23 * 391


Since , it is a product of  two prime numbers, so it is a composite number.

----------------------------------------------------------------------------------------------------