Answer:
17 = 17^1
Explanation:
Factor the following integer:
17
17 is not divisible by 2 since 17 is odd and 2 is even:
17 = 17 (17 is not divisible by 2)
The sum of the digits of 17 is 1 + 7 = 8, which is not divisible by 3. This means 17 is not divisible by 3:
17 = 17 (17 is not divisible by 2 or 3)
The last digit of 17 is not 5 or 0, which means 17 is not divisible by 5:
17 = 17 (17 is not divisible by 2, 3 or 5)
Divide 7 into 17:
| | 2 | (quotient)
7 | 1 | 7 |
- | 1 | 4 |
| | 3 | (remainder)
17 is not divisible by 7:
17 = 17 (17 is not divisible by 2, 3, 5 or 7)
The alternating sum of the digits of 17 is 1 - 7 = -6, which is not divisible by 11. This means 17 is not divisible by 11:
17 = 17 (17 is not divisible by 2, 3, 5, 7 or 11)
Divide 13 into 17:
| | | 1 | (quotient)
1 | 3 | 1 | 7 |
| - | 1 | 3 |
| | | 4 | (remainder)
17 is not divisible by 13:
17 = 17 (17 is not divisible by 2, 3, 5, 7, 11 or 13)
No primes less than 17 divide into it. Therefore 17 is prime:
17 = 17
Since 17 is prime it has an exponent of 1:
Answer: 17 = 17^1