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subject: Number Divisible By 3 [print this page]

A divisibility rule is a shorthand way of discovering whether a given number is divisible by a fixed divisor without performing the division, usually by examining its digits. Although there are divisibility tests for numbers in any radix, and they are all different, this article presents rules and examples only for decimal numbers.

First, take any number (for this example it will be 492) and add together each digit in the number (4 + 9 + 2 = 15). Then take that sum (15) and determine if it is divisible by 3. The original number is divisible by 3 if and only if the final number is divisible by 3.

If a number is a multiplication of 3 consecutive numbers then that number is always divisible by 3. This is useful for when the number takes the form of (n (n 1) (n + 1))

Ex.

492 (The original number)

4 + 9 + 2 = 15 (Add each individual digit together)

15 is divisible by 3 at which point we can stop. Alternatively we can continue using the same method if the number is still too large:

1 + 5 = 6 (Add each individual digit together)

6 3 = 2 (Check to see if the number received is divisible by 3)

492 3 = 164 (If the number obtained by using the rule is divisible by 3, then the whole number is divisible by 3)

Ex.

336 (The original number)

6 7 8 = 336

336 3 = 112

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A number is an arithmetical object used in counting and measuring. A notational symbol which represents an element is called a numeral, but in common usage the word number is used for both the abstract object and the symbol, as well as for the word for the number. In adding to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (ISBNs).(Source-Wikipedia)

For example of number divisible by 3:

Step 1: whole number 9 in numerator.

Step 2: whole number 3 in denominator.

Step 3: The divisible solution is 3.

Number Divisible by 3-example 1:

27 number divisible by 3

Solution:

Step 1: Whole number 27 in numerator part.

Step 2: Whole number 3 in denominator part.

Step 3: The divisible solution is 9.

Number divisible by 3-Example 2:

99 number divisible by 3

Solution:

Step 1: Whole number 99 in numerator part.

Step 2: Whole number 3 in denominator part.

Step 3: The divisible solution is 33.

Number divisible by 3-Example 3:

50 number divisible by 3

Solution:

Step 1: Whole number 50 in numerator part.

Step 2: Whole number 3 in denominator part.

Step 3: The divisible solution is 16.66.

Number Divisible by 3-example 4:

1500 number divisible by 3

Solution:

Step 1: Whole number 1500 in numerator part.

Step 2: Whole number 3 in denominator part.

Step 3: The divisible solution is 500.

Number divisible by 3-Example 6:

27.5 number divisible by 3

Solution:

Step 1: The decimal number 27.5in numerator part.

Step 2: Whole number 3 in denominator part.

Step 3: The divisible solution is 9.16.

Number divisible by 3-Practice problems:

Problem 1: 15 number divisible by 3

Solution: The divisible solution is 5

Problem 2: 100.5 number divisible by 3

Solution: The divisible solution is 33.5

by: johnharmer

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