Question

2. Using divisibility tests, determine which of the following numbers are divisible by
4; by 8:
(a) 572
(b) 726352
(c) 5500 (d) 6000 v
(e) 121597
(1) 14560v (g) 21084 (h) 31795072
(I) 1700
(j) 2150 .
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Answer 1

Answer:

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Step-by-step explanation:

divisible by 4:-

a)

b)

c)

d)

f)

g)

h)

i)

divisible by 8:-

b)

d)

f)

h)

Answer 2

Divisibility of 4-

• if the last two digits are the multiple of 4 then that number is divisible by 4.

Divisibility of 8-

• if the last three digits are the multiple of 8 then that number is divisible by 8.

Step-by-step solution-

(a.) 572

Divisibility of 4→ 572 {72 is divisible by 4, so 572 is divisible by 4}

Divisibility of 8→ 572 { 572 is not divisible by 8}

(b.) 726352

Divisibility of 4→ Yes

Divisibility of 8→ Yes

(c.) 5500

Divisibility of 4→ Yes

Divisibility of 8→ No

(d.) 6000

Divisibility of 4→ Yes

Divisibility of 8→ Yes

(e.) 121597

Divisibility of 4→ No

Divisibility of 8→ No

(f.) 14560

Divisibility of 4→ Yes

Divisibility of 8→ Yes

(g.) 21084

Divisibility of 4→ Yes

Divisibility of 8→ No

(h.) 31795072

Divisibility of 4→ Yes

Divisibility of 8→ Yes

(i.) 1700

Divisibility of 4→ Yes

Divisibility of 8→ No

(j.) 2150

Divisibility of 4→ No

Divisibility of 8→ No

_____________________

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