Using Divisibility Rules | Determining Divisibility by 3 in Mathematics

If the sum of the digits is divisible by 3 then the number is divisible by 3

In mathematics, divisibility rules are helpful guidelines to determine if one number is divisible by another number without performing actual division

In mathematics, divisibility rules are helpful guidelines to determine if one number is divisible by another number without performing actual division. One of the commonly known divisibility rules is for the number 3.

The rule states that if the sum of the digits of a number is divisible by 3, then the original number itself is divisible by 3. To understand this rule, let’s consider an example.

Suppose we have the number 234. To check if it is divisible by 3, we need to sum up its digits: 2 + 3 + 4 = 9. Since 9 is divisible by 3, we can conclude that 234 is divisible by 3 as well.

Let’s validate this by performing the actual division: 234 ÷ 3 = 78. The result is a whole number with no remainder, confirming that indeed, 234 is divisible by 3.

We can apply this rule to any number. For instance, let’s consider the number 1,896. Adding its digits, we get: 1 + 8 + 9 + 6 = 24. Since 24 is divisible by 3, we can conclude that 1,896 is divisible by 3.

This rule is quite handy when dealing with large numbers, as it saves time and effort by avoiding the need to perform actual division. By calculating the sum of the digits, we can quickly determine divisibility by 3.

It’s important to note that this rule only applies to the divisibility by 3 and does not work for other numbers like 2, 4, 5, etc. Each number has its own specific divisibility rule which can be learned and utilized in different scenarios.

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