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Chapter 5: Problem 101

What does " \(a\) is divisible by \(b\) " mean?

Short Answer

Expert verified
'\(a\) is divisible by \(b\)' means that if \(b\) is multiplied by some integer, the product is \(a\), or equivalently, \(a\) can be divided by \(b\) without leaving a remainder.

Step by step solution

01

Understand the notation

The notation '\(a\) is divisible by \(b\)' refers to the relationship between two integers \(a\) and \(b\). It implies that there exists another integer such that when \(b\) is multiplied by it, the result would be \(a\).
02

Define Divisibility

Divisibility is a term used in mathematics to indicate that a number \(b\) can 'fit into' another number \(a\) a certain number of times without a remainder. In other words, if \(a\) is divisible by \(b\), the division of \(a\) by \(b\) has no remainder.
03

Give an example

Taking \(a = 10\) and \(b = 2\) as an example, we see that \(10\) is divisible by \(2\) because \(2\) 'fits into' \(10\) exactly \(5\) times with no remainder.

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