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Without dividing, determine if 11,653 is divisible by 3 and explain how you know.
11,653 divisible by 3

Without dividing, determine if $11$ , $653$ is divisible by $3$ and explain how you know. $\newline$ $11$ , $653$ $\square$ divisible by $3$

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Scale drawings: word problems

Full solution

Q. Without dividing, determine if

11

,

653

is divisible by

3

and explain how you know.

\newline

11

,

653

\square

divisible by

3

Divisibility Rule for $3$ : To determine if a number is divisible by $3$ , we can use the divisibility rule for $3$ : if the sum of the digits of the number is divisible by $3$ , then the number itself is divisible by $3$ .
Applying Rule to $11$ , $653$ : Let's apply this rule to $11,653$ . We need to find the sum of its digits: $1 + 1 + 6 + 5 + 3$ .
Calculating Sum of Digits: Calculating the sum of the digits: $1 + 1 + 6 + 5 + 3 = 16$ .

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