The number 507 is not divisible by 7. Then is it divisible by 21? Give the reason for your answer.

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Solution

The given number is 507; the number is not divisible by 7.
Also,
21 = 7 × 3
If the number is not divisible by 7, it cannot be divisible by 21.
Hence, the number is not divisible by 21.

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18 is divisible by both 2 and 3. It is also divisible by $2 \times 3 = 6.$ Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by $4 \times 6 = 24 ?$ If not, give an example to justify your answer.

18

is divisible by both

2

and

3

.It is also divisible by

2 \times 3 = 6.

4

and

6.

Can we say that the number must also be divisible by

4 \times 6 = 24

?If not, give an example to justify your answer.

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The number 507 is not divisible by 7. Then is it divisible by 21? Give the reason for your answer.

The given number is 507; the number is not divisible by 7. Also, 21 = 7 × 3 If the number is not divisible by 7, it cannot be divisible by 21. Hence, the number is not divisible by 21.

The given number is 507; the number is not divisible by 7.
Also,
21 = 7 × 3
If the number is not divisible by 7, it cannot be divisible by 21.
Hence, the number is not divisible by 21.