Explain why 7×13×11+11 and 7×6×5×4×3×2×1+3 are composite numbers
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7×13×11+11
11{7×13×1+1}
11{91+1}
11{92}
we see that it have two factor hence it is composite number
7×6×5×4×3×2×1+3
3{7×6×5×4×1×2×1+1}
3{1681}
it have also two factor so it is composite no.
a no. which has two or more than two factor is called composite no.
11{7×13×1+1}
11{91+1}
11{92}
we see that it have two factor hence it is composite number
7×6×5×4×3×2×1+3
3{7×6×5×4×1×2×1+1}
3{1681}
it have also two factor so it is composite no.
a no. which has two or more than two factor is called composite no.
Anne1111:
thank u so much
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1.Explain why ( 7 x 13 x 11 + 11 ) is a composite number .
Solution : 7 x 13 x 11 + 11
= 11 ( 7 x 13 + 1 ) { We took 11 as common }
= 11 ( 91 + 1 )
= 11 x 92
= 11 x 2 x 2 x 23
Since ( 7 x 13 x 11 + 11 ) can be expressed as product of prime numbers.So,it is a composite number.
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2. Explain why ( 7 x 6 x 5 x 4 x 3 x 2 x 1 + 3 ) is a composite number.
Solution : 7 x 6 x 5 x 4 x 3 x 2 x 1 + 3
= 3 ( 7 x 6 x 5 x 4 x 2 x 1 + 1 ) { We took 3 as common }
= 3 ( 1680 + 1 )
= 3 x 1681
= 3 x 41 x 41.
Since ( 7 x 6 x 5 x 4 x 3 x 2 x 1 + 3 ) can be expressed in the form of the product of prime numbers.So, it is a composite number .
☺☺☺
1.Explain why ( 7 x 13 x 11 + 11 ) is a composite number .
Solution : 7 x 13 x 11 + 11
= 11 ( 7 x 13 + 1 ) { We took 11 as common }
= 11 ( 91 + 1 )
= 11 x 92
= 11 x 2 x 2 x 23
Since ( 7 x 13 x 11 + 11 ) can be expressed as product of prime numbers.So,it is a composite number.
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2. Explain why ( 7 x 6 x 5 x 4 x 3 x 2 x 1 + 3 ) is a composite number.
Solution : 7 x 6 x 5 x 4 x 3 x 2 x 1 + 3
= 3 ( 7 x 6 x 5 x 4 x 2 x 1 + 1 ) { We took 3 as common }
= 3 ( 1680 + 1 )
= 3 x 1681
= 3 x 41 x 41.
Since ( 7 x 6 x 5 x 4 x 3 x 2 x 1 + 3 ) can be expressed in the form of the product of prime numbers.So, it is a composite number .
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