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Michael_Light
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Homework Statement
Prove 9n-1 is divisible by 8 such that n is positive integer.
Homework Equations
The Attempt at a Solution
It looks simple and i tried to apply everything i know but yet i can't prove it. Any hints?
Michael_Light said:Homework Statement
Prove 9n-1 is divisible by 8 such that n is positive integer.
Homework Equations
The Attempt at a Solution
It looks simple and i tried to apply everything i know but yet i can't prove it. Any hints?
There are a few ways to prove that a number is divisible by 8. One way is to divide the number by 8 and see if the result is a whole number. Another way is to check if the last three digits of the number are divisible by 8. If either of these methods result in a whole number, then the original number is divisible by 8.
Yes, the prime factorization method can also be used to prove that a number is divisible by 8. If the number has at least three factors of 2 in its prime factorization, then it is divisible by 8.
The rule for divisibility by 8 is that a number is divisible by 8 if its last three digits are divisible by 8. In other words, the number must end in 000, 008, 016, 024, 032, etc. to be divisible by 8.
Yes, most calculators have a "mod" function which can be used to determine the remainder when dividing a number by 8. If the remainder is 0, then the number is divisible by 8.
Yes, by definition, a multiple of 8 is any number that can be evenly divided by 8. Therefore, all multiples of 8 are divisible by 8.