The largest prime factor of $7^{99} + 7^{100} + 7^{101}$ is

7

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13

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17

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19

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Solution

The correct option is A $19$
$7^{99} + 7^{100} + 7^{101} = 7^{99} (1 + 7 + 7^{2}) = 7^{99} \times 57 = 7^{99} \times 3 \times 19$ . The largest prime factor is 1 $9$ .

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18

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