What is the smallest prime factor of 50! +3?
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Answered by
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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 ☺️ ★★
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 ☺️ ★★
Answered by
0
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..##
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..##
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