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

Numerical

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

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Solution

EXPLAIN: Why `7xx11xx13+13` and `7xx6xx5xx4xx3xx2xx1+5`are composite numbers

We can see that both the numbers have common factor 7 and 1.

`7xx11xx13+13=(77+1)xx13`

`7xx6xx5xx4xx3xx2xx1+5=(7xx6xx4xx3xx2+1)xx5`

`=1008xx5`

And we know that composite numbers are those numbers which have at least one more factor other than 1.

Hence after simplification we see that both numbers are even and therefore the given two numbers are composite numbers

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.3 | Q 3 | Page 35
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