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Without dividing, determine if 22,128 is divisible by 3 and explain how you know.

22,128◻ divisible by 3

Without dividing, determine if $22$ , $128$ is divisible by $3$ and explain how you know. $\newline$ $22,128 \square$ divisible by $3$

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Find a value using two-variable equations: word problems

Full solution

Q. Without dividing, determine if

22

,

128

is divisible by

3

and explain how you know.

\newline

22,128 \square

divisible by

3

Divisibility Rule Explanation: Understand the divisibility rule for $3$ . The divisibility rule for $3$ states that a number is divisible by $3$ if the sum of its digits is divisible by $3$ .
Apply Rule to $22,128$ : Apply the divisibility rule to $22,128$ . Add the digits of $22,128$ together: $2 + 2 + 1 + 2 + 8$ .
Calculate Sum of Digits: Calculate the sum of the digits. $2 + 2 + 1 + 2 + 8 = 15$ .
Check Divisibility by $3$ : Determine if the sum of the digits is divisible by $3$ . Since $15$ is divisible by $3$ (because $15 \div 3 = 5$ ), according to the divisibility rule, $22,128$ is also divisible by $3$ .

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