Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Divisibility rule
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Divisibility by 5=== Divisibility by 5 is easily determined by checking the last digit in the number (47'''5'''), and seeing if it is either 0 or 5. If the last number is either 0 or 5, the entire number is divisible by 5.<ref name="Pascal's-criterion"/><ref name="last-m-digits"/> If the last digit in the number is 0, then the result will be the remaining digits multiplied by 2. For example, the number 40 ends in a zero, so take the remaining digits (4) and multiply that by two (4 Γ 2 = 8). The result is the same as the result of 40 divided by 5(40/5 = 8). If the last digit in the number is 5, then the result will be the remaining digits multiplied by two, plus one. For example, the number 125 ends in a 5, so take the remaining digits (12), multiply them by two (12 Γ 2 = 24), then add one (24 + 1 = 25). The result is the same as the result of 125 divided by 5 (125/5=25). '''Example.'''<br> ''' If the last digit is 0''' # 110 (The original number) # <s>11</s> <u>0</u> (Take the last digit of the number, and check if it is 0 or 5) # <u>11</u> <s>0</s> (If it is 0, take the remaining digits, discarding the last) # 11 Γ 2 = 22 (Multiply the result by 2) # 110 Γ· 5 = 22 (The result is the same as the original number divided by 5) '''If the last digit is 5''' # 85 (The original number) # <s>8</s> <u>5</u> (Take the last digit of the number, and check if it is 0 or 5) # <u>8</u> <s>5</s> (If it is 5, take the remaining digits, discarding the last) # 8 Γ 2 = 16 (Multiply the result by 2) # 16 + 1 = 17 (Add 1 to the result) # 85 Γ· 5 = 17 (The result is the same as the original number divided by 5)
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)