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Illustration of why you need strong passwords
Suppose a password consisted of a string of nine characters from the English alphabet (twenty-six characters). If each possible password could be tested in a millisecond, how long would it take to test all possible passwords?
### Step 1: Calculate total number of possible passwords
- Each character has **26 possibilities** (a–z).
- Password length = **9 characters**.
- Total passwords = 26^9
26^9 = 5,429,503,678,976
So, there are **5,429,503,678,976** possible passwords.
---
### Step 2: Time per password
- Each password test takes **1 millisecond (ms)** = 0.001 seconds.
---
### Step 3: Total time in milliseconds
5,429,503,678,976 * 1ms = 5,429,503,678,976 ms
---
### Step 4: Convert to more meaningful units
· In seconds:
5,503,678,976 / 1,000 = 5,429,503,678.976 seconds
· In minutes:
5,429,503,678.976 / 60 = approx. 90,491,727.98 minutes
· In hours:
90,491,727.98 / 60 = approx. 1,508,195.47 hours
· In days:
1,508,195.47 / 24 = approx. 62,841.48 days
· In years:
62,841.48 / 365 = approx. 172.2 years
---
Final Answer:
It would take approximately **172 years** to test all possible 9-character lowercase alphabetic passwords at a rate of **1 millisecond per password**. There are programs for guessing passwords this fast which is why you need a strong password. Because this is an impossibility. If someone brute forced the characters of your password, it would no longer be in use
### Step 1: Calculate total number of possible passwords
- Each character has **26 possibilities** (a–z).
- Password length = **9 characters**.
- Total passwords = 26^9
26^9 = 5,429,503,678,976
So, there are **5,429,503,678,976** possible passwords.
---
### Step 2: Time per password
- Each password test takes **1 millisecond (ms)** = 0.001 seconds.
---
### Step 3: Total time in milliseconds
5,429,503,678,976 * 1ms = 5,429,503,678,976 ms
---
### Step 4: Convert to more meaningful units
· In seconds:
5,503,678,976 / 1,000 = 5,429,503,678.976 seconds
· In minutes:
5,429,503,678.976 / 60 = approx. 90,491,727.98 minutes
· In hours:
90,491,727.98 / 60 = approx. 1,508,195.47 hours
· In days:
1,508,195.47 / 24 = approx. 62,841.48 days
· In years:
62,841.48 / 365 = approx. 172.2 years
---
Final Answer:
It would take approximately **172 years** to test all possible 9-character lowercase alphabetic passwords at a rate of **1 millisecond per password**. There are programs for guessing passwords this fast which is why you need a strong password. Because this is an impossibility. If someone brute forced the characters of your password, it would no longer be in use
