Describe, why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers?
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Describe, why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers?
NO SPAM PLEASE
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Answer:
1)7×11×13×13
2)7×6×5×4×3×2×1×5
1)7×11×13×13
ans:7×11×1(13)
7×11×13
77×13
1001
it is an composite number
2)7×6×5×4×3×2×1×5
ans:7×6×5×4×3×2×1×5
1×2×3×4×5×6×7×5
1×2×3×4×6×7×1(5)
1×2×3×4×5×6×7
2×12×20×42
24×840
20160
it is an composite number
Verified answer
Step-by-step explanation:
Given that:-
1)7×11×13+13
=>13(7×11+1)
=>13×(77+1)
=>13×(78)
=>13×2×39
=>13×2×3×13
=>2¹×3¹×13²
Given number is expressed as product of primes
by Fundamental theorem of arithmetic
given number is a composite number.
2)Given that:-
7×6×5×4×3×2×1+5
=>5(7×6×4×3×2×1+1)
=>5×(1008+1)
=>5×(1009)
=>5×1009
Given number is expressed as the product of primes
By Fundamental theorem of arithmetic
Given number is a composite number
Fundemental theorem of arithmetic:-
Every composite number can be expressed as product of primes and this prime factorization is unique apart from the order