(5/7)^-3 × (11/7)^11 = (11/7)^4x
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Class 11
>>Applied Mathematics
>>Number theory
>>Fundamental theorem of Arithmetic
>>Explain why 7 x 11 x 13 + 1...
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Explain why 7 x 11 x 13 + 13 and 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 are composite numbers.
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Given 7×11×13+13
=13×(7×11+1)=3×78
This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.
similarly in
7×6×5×4×3 ×2×1+5
=5(7×6×4×3 ×2×1+1)=5×1009
This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.
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