Respuesta :
factor out 10^7: 10^7(10²+10+1)=111*10^7
write 10^7 into (2*5)^7: =111*5^7^2^7
=555*5^6*2^7
yes, 10^9+10^8+10^7 is divisible by 555
write 10^7 into (2*5)^7: =111*5^7^2^7
=555*5^6*2^7
yes, 10^9+10^8+10^7 is divisible by 555
The proof that 10⁹ + 10⁸ + 10⁷ is divisible by 555; Is true and has been proved below
Divisibility of Numbers
Let the number N be expressed as;
10⁹ + 10⁸ + 10⁷
We can factor out 10⁷ to get;
⇒ 10⁷(100 + 10 + 1)
⇒ 10⁷(111)
⇒ 10 × 10⁶(111)
We can factorize 10 further to get;
5 × 2 × 10⁶(111)
⇒ 555 × 2 × 10⁶
Since the answer contains 555, then we can say that it is divisible by 555.
Read more on divisibility of numbers at; https://brainly.com/question/14871175
