explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers
shadowsabers03:
Cool question.
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because it has more factord
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No need of such explanation! Only needed the first two steps!!!
At the second step, it's seen that the number is a multiple of 13. Thus proved!!!
At the second step, it's seen that the number is a multiple of 13. Thus proved!!!
;-)
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Solution :
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Any number which has more than two factors is called a
composite number.
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i) 7×11×13+13
= 13(7×11+1)
= 13(77+1)
= 13×78
= 13×78×1
[ more than two factors]
= composite number
ii)7×6×5×4×3×2×1+5
= 5(7×6×4×3×2×1+1)
= 5( 1008 + 1)
=5×1009
= 5×1009×1
[ more than two factors]
= composite number
••••
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