Math, asked by vinodshandilya4, 6 months ago

. Explain why 2x13x13+13 and 7x6x5x13x2
X + 5
composite numbers.
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Answers

Answered by DILAVNAIK
1

Step-by-step explanation:

1)

2 × 13 ×13 + 13 = 13 ( 2 × 13 + 1)

= 13 ( 26 + 1)

= 13 (27)

= 13 × 3 ×3 ×3

= 13 × 3³

so 2 × 13 × 13 + 13 can be expressed as a multiplication of prime numbers,

( this number contains 13 and 3³ as a factor)

so this number is a composite number.

2)

7 × 6 × 5 ×13 × 2 + 5 = 5 ( 7 × 6 × 13 ×2 + 1)

= 5 ( 42 × 26 + 1)

= 5 ( 1092 + 1)

= 5 × 1093

so the above number is expressed as a multiplication of prime numbers,

( this number contains 5 and 1093 as a factor )

so this number is a composite number.

I hope this will help you.

Happy to help.

Thank you.

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