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Explain Why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 Are Composite Numbers. - CBSE Class 10 - Mathematics

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Question

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.

Solution

We have,

7 x 11 x 13 + 13 = 1001 + 13 = 1014

1014 = 2 x 3 x 13 x 13

⇒ it is the product of prime factors

2 x 3 x 13 x 13

Hence it is a composite number

7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 = 2520 + 5 = 2525 and 2525 = 5 x 5 x 101

It is the product of prime factors 5 x 5 x 101

Hence it is a composite number.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 1: Real Numbers
Ex. 1.20 | Q: 6 | Page no. 11

Video TutorialsVIEW ALL [1]

Solution Explain Why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 Are Composite Numbers. Concept: Fundamental Theorem of Arithmetic.
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