Explain why 7 ×11 ×13 + 13 and 7 ×6 ×5 ×4 ×3 ×2× 1 + 5 are composite numbers.
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Composite numbers are the numbers which has more than two factors.
7 ×11 ×13 + 13 = 1014
7 ×6 ×5 ×4 ×3 ×2× 1 + 5 = 2525
>> Factors of 1014: 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014.
As it has more than two factors, it is called a composite number.
>> Factors of 2525 : 1, 5, 25, 101, 505, 2525.
As it has more than two factors, it is called a composite number.
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Answered by
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Step-by-step explanation:
7×11+13+13
=13×(7×11+1)
=13×(77+1)
=13×78
=13×13×3×2
Since it has more two factors (13,3,2,1,13+77 i.e. 1014),it is a composite number
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