Question

What is the smallest prime factor of 50! +3?

Answer 1

Heya user !!!

Here's the answer you are looking for

50! + 3

= 50×49×48×......×3×2×1 + 3

= 3 ( 50×49×48×......×1×2×1 + 1 )

Let (50×49×48×......×1×2×1 + 1) = m

So, 50! + 3 = 3m

Since, 3 is a prime number , the answer is 3.


★★ HOPE THAT HELPS ☺️ ★★

Answer 2

hello friends..
Question:- What is the smallest prime factor of 50! +3?
Solution:-
50! = ( 50×49×48×47×......×4×3×2×1)
&
50! +3= {( 50×49×48×47×......×4×3×2×1)+3}
= 3{( 50×49×48×47×......×4×1×2×1) +1}
now,let
{( 50×49×48×47×......×4×1×2×1) +1} = n
=> 50! +3 = 3n
for the smallest prime factor . because 3 is a prime number

hence
3 is the smallest prime factor of 50! +3

## hope it helps..##