Question

using divisibility tests, determine which of the following numbers are divisible by 4 by 8 (a)572​

Answer 1

Answer:

12159 Not divisible by 4 and 8 as it is an odd number. 14560 Divisible by 4 as its last two digits are divisible by 4. Divisible by 8 as its last three digits are divisible by 8.

Step-by-step explanation:

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Answer 2

To check:-

(a) 572 is divisible by 4 or 8 by divisibility rule.

Divisibility rule of 8 --

If the last three digits are divisible by 8.

Divisibility rule of 4 --

If the last two digits are divisible by 4.

The given no. is 572

▪ By 4

=} 572 $\implies$ The last two digits that is 72 is divisible by 4. So, the no. 572 is also divisible by 4.

72 is divisible by 4

(18×4=72)

So, the given no. is divisible by 4.

_______________________________

572 is not divisible by 8.

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Divisibility Rule :-

A no. is divisible by:--

▪2 if the last digit is

0,2,4,6,8

▪3- If the sum of digits is divisible by 3.

For eg--

216

2+1+6 = 9

9 is divisible by 3. It means that 216 is divisible by 3.

▪ 4 - If the last two digits are divisible by 4.

For eg- 216

16 is divisible by 4. Hence, 216 is also divisible by 4.

▪ 5 - If the last digit is 0 or 5.

▪ 6- If the no. is divisible by 3 or 2.

▪7 - Take the last digit out.

For eg- 343

3 is the last digit, double it.

3 × 2 = 6

Subtract from the remaining digit that is 34.

34 - 6 = 28

and 28 is divisible by 7. Hence, 343 is divisible by 7.

▪ 8- If the last three digit is divisible by 3.

▪ 9- If the sum of digits is divisible by 9.

▪ 10 - If the last digit is 0. Or if the no. is divisible by both 2 and 5.