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Without dividing, determine if 72,827 is divisible by 4 and explain how you know.

72,827◻ divisible by 4

Without dividing, determine if $72$ , $827$ is divisible by $4$ and explain how you know. $\newline$ $72,827 \square$ divisible by $4$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Without dividing, determine if

72

,

827

is divisible by

4

and explain how you know.

\newline

72,827 \square

divisible by

4

Check Last Two Digits: To determine if a number is divisible by $4$ , we only need to look at the last two digits of the number. If the last two digits form a number that is divisible by $4$ , then the entire number is divisible by $4$ .
Evaluate Last Two Digits: The last two digits of $72,827$ are $27$ . Now we need to check if $27$ is divisible by $4$ .
Verify Divisibility by $4$ : Since $4 \times 6$ is $24$ and $4 \times 7$ is $28$ , $27$ is not divisible by $4$ because it does not fall into the multiplication table of $4$ . It is between $24$ and $28$ .
Final Result: Therefore, since the last two digits of the number $72,827$ (which are $27$ ) are not divisible by $4$ , the number $72,827$ is not divisible by $4$ .

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