Question

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

Answer 1

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

Mark me as Brainliest!!!!!

Answer 2

The number 3¹³ - 3¹⁰ is divisible by 2, 3 and 13​

Step-by-step explanation:

Complete Question :

The number 3¹³ - 3¹⁰ is divisible by

(a) 2 and 3

(c) 2, 3 and 10

(b) 3 and 10

(d) 2, 3 and 13​

3¹³  - 3¹⁰

= 3⁽¹⁰⁺³⁾ - 3¹⁰

= 3¹⁰ * 3³  - 3¹⁰

= 3¹⁰ ( 3³ - 1)

= 3¹⁰ ( 27 - 1)

= 3¹⁰ * 26

= 3¹⁰ * 2 *  13

only factors are 2  , 3 , 13

so not divisible by 10

The number 3¹³ - 3¹⁰ is divisible by 2, 3 and 13​

Learn more:

https://brainly.in/question/14790194

If n is the sum of first 2020 prime numbers then n is always divisible by

https://brainly.in/question/14146456

If n is a natural number, then 25^2n – 9^2n is always divisible by ...

https://brainly.in/question/14627852