How do I find if a number is a multiple

Katelynn Cunningham

Katelynn Cunningham

Answered question

2022-02-03

How do I find if a number is a multiple of 8?

Answer & Explanation

April Acosta

April Acosta

Beginner2022-02-04Added 11 answers

Just check the last three digits of the number.
If they are divisible by 8, the entire number is divisible by 8.
For example, last three digits of 53927592 are 592 and they are divisible by 8 as 592=74×8.
Hence, 53927592 is divisible by 8 and 53927592=6740949×8.
The reason is that as the number can be expressed as YYYYYZZZ=YYYYY×1000+ZZZ
=YYYYY×125×8+ZZZ
As YYYYY×125×8 is divisible by 8, if ZZZ is divisible by 8 YYYYYZZZ is divisible by 8.

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