The number 3 13 3 10 is divisible by


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Thé number 3^13 - 3^10 is divisible by

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Answer:

3¹³-3¹⁰ is divisible by 3¹⁰ and 26

Explanation:

3¹³ - 3¹⁰

This can be written as:

3¹⁰ ₓ 3³ - 3¹⁰

Taking common 3¹⁰, we get

3¹⁰(3³ - 1)

= 3¹⁰ (27-1)

= 3¹⁰ × 26

Hence, 3¹⁰ and 26 are the factor of 3¹³-3¹⁰

∴ 3¹³-3¹⁰ is divisible by 3¹⁰ and 26

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