Question

Tence
2. Using divisibility tests, determine which of the following numbers are divisible by
4; by 8:
(a) 572 (b) 726352 (c) 5500 (d) 6000 (e) 12159
(1) 14560 (g) 21084 (h) 31795072 (i) 1700 (1) 2150​

Answer 1

Answer:

Divisibility by 4

 

A number will be divisible by 4 if the number formed by its tens and ones digit(Last two digits) is divisible by 4.

If its ones place is odd then it is not divisible by 4

If its last 2 digits have 0 then it is divisible by 4

.Divisibility by 8

A number will be divisible by 8 only when the number formed by hundreds tens and ones digit( last 3 digits) is divisible by 8.

If its ones place is odd then it is not divisible by 8.

If its last 3 digits have 0 then it is divisible by 8

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Solution:

(a) 572⇒ Divisible by 4 as its last two digits (72) are divisible by 4.

⇒ Not divisible by 8 as its last three digits(572) are not divisible by 8.

(b) 726352 �Divisible by 4 as its last two digits(52) are divisible by 4.

⇒Divisible by 8 as its last three digits(352) are divisible by 8.

(c) 5500 ⇒ Divisible by 4 as its last two digits(00) are divisible by 4.

⇒ Not divisible by 8 as its last three digits(500) are not divisible by 8.

(d) 6000 ⇒Divisible by 4 as its last two digits are 0.

⇒Divisible by 8 as its last three digits are 0.

(e) 12159 ⇒ Not divisible by 4 and 8 as it is an odd number.

(f) 14560 ⇒Divisible by 4 as its last two digits(60) are divisible by 4.

⇒ Divisible by 8 as its last three digits(560) are divisible by 8.

(g) 21084 ⇒ Divisible by 4 as its last two digits(84) are divisible by 4.

⇒ Not divisible by 8 as its last three digits(084) are not divisible by 8.

(h) 31795072 ⇒ Divisible by 4 as its last two digits(72) are divisible by 4.

⇒Divisible by 8 as its last three digits(072) are divisible by 8.

(i) 1700 ⇒Divisible by 4 as its last two digits are 0.

⇒ Not divisible by 8 as its last three digits(700) are not divisible by 8.

(j) 2150 ⇒ Not divisible by 4 as its last two digits(50) are not divisible by 4.

⇒ Not divisible by 8 as its last three digits(150) are not divisible by 8

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