A number is divisible by $3$ if the sum of its digits is a multiple of $3$.

A number is divisible by $6$ if it is even and also a multiple of $3$.

A number is divisible by $9$ if the sum of its digits is a multiple of $9$.

Question 1

Will a number divisible by 6 necessarily be divisible by 2?

Question 2

Determine if the following number is divisible by 3:

\( 132 \)

Question 3

Determine if the following number is divisible by 3:

\( 352 \)

Question 4

Determine if the following number is divisible by 3:

\( 673 \)

Question 5

Determine if the following number is divisible by 3:

\( 564 \)

Will a number divisible by 6 necessarily be divisible by 2?

Yes

Determine if the following number is divisible by 3:

$132$

Yes

Determine if the following number is divisible by 3:

$352$

No

Determine if the following number is divisible by 3:

$673$

No

Determine if the following number is divisible by 3:

$564$

Yes

Question 1

Will a number divisible by 9 necessarily be divisible by 6?

Question 2

Will a number divisible by 3 necessarily be divisible by 6?

Question 3

Will a number divisible by 9 necessarily be divisible by 3?

Question 4

Will a number divisible by 3 necessarily be divisible by 9?

Question 5

Will a number divisible by 2 necessarily be divisible by 6?

Will a number divisible by 9 necessarily be divisible by 6?

No

Will a number divisible by 3 necessarily be divisible by 6?

No

Will a number divisible by 9 necessarily be divisible by 3?

Yes

Will a number divisible by 3 necessarily be divisible by 9?

No

Will a number divisible by 2 necessarily be divisible by 6?

No

Question 1

Is the number below divisible by 9?

\( 189 \)

Question 2

Is the number below divisible by 9?

\( 987 \)

Question 3

Is the number below divisible by 9?

\( 685 \)

Question 4

Is the number below divisible by 9?

\( 999 \)

Question 5

Determine if the following number is divisible by 6:

\( 876 \)

Is the number below divisible by 9?

$189$

Yes

Is the number below divisible by 9?

$987$

No

Is the number below divisible by 9?

$685$

No

Is the number below divisible by 9?

$999$

Yes

Determine if the following number is divisible by 6:

$876$

Yes