Question

The number 3 power 13 - 3 to the power 10 is divisible by what

Answer 1

3¹³  - 3¹⁰ is always Divisible by  2, 3 and 13​

Step-by-step explanation:

3¹³  - 3¹⁰

= 3⁽¹⁰⁺³⁾ - 3¹⁰

= 3¹⁰ * 3³  - 3¹⁰

= 3¹⁰ ( 3³ - 1)

= 3¹⁰ ( 27 - 1)

= 3¹⁰ * 26

26  = 2 *  13

only factors are 2  , 3 , 13

so not divisible by 10

3¹³  - 3¹⁰ is always Divisible by 26

as 3¹³  - 3¹⁰ is  divisible by 2 , 3 , 6 , 9 , 13 , 18 , 26 , 27 , 39 , 54 , 78

from option 2 , 3 & 13 is correct answer

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