# DIVISIBILITY TEST - FOR 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 AND PRIME DIVISORS 13 TO 47 AND ABOVE

Multiplication Tables
and
Division before Divisibility Test
They are prerequisites here.

Here we study methods that can be used to determine
whether a number is evenly divisible by other numbers.

These are shortcuts for testing a number's factors
without resorting to division calculations.

The rules given below transform a given number's divisibility
by a divisor to a smaller number's divisibility by the same divisor.

If the result is not obvious after applying it once,
the rule should be applied again to the smaller number.

We present the rules with examples, in a simple way,
to follow, understand and apply. Great Deals on School & Homeschool Curriculum Books

Given below are the Links for
Divisibility Test for 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
and Divisibility Test for any Prime Divisor.

Divisibility by 2 and 4

Divisibility by 3 and 6

Divisibility by 5, 9 and 10

Divisibility by 7

Divisibility by 8

Divisibility by 11

Divisibility by Prime Divisor

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## Divisibility Test, for 2 to 11

Solve the following problems on Divisibility Test

(1) Check whether the following numbers are divisible by 2.
(i) 97234 (ii) 16524 (iii) 3825 (iv) 52618 (v) 843071
(vi) 64127 (vii) 123612 (viii) 46782 (ix) 2613 (x) 273842

(2) Check whether the following numbers are divisible by 8.
(i) 1234896 (ii) 23468 (iii) 56818 (iv) 789248 (v) 987364
(vi) 34168 (vii) 987167 (viii)123856 (ix) 45060840 (x) 123678

(3) Check whether the numbers in Question (2) are divisible by 4.
(i) 1234896 (ii) 23468 (iii) 56818 (iv) 789248 (v) 987364
(vi) 34168 (vii) 987167 (viii)123856 (ix) 45060840 (x) 123678

(4) Check whether the following numbers are divisible by 3.
(i)3624 (ii)94506 (iii)97531(iv)105756 (v)739285
(vi)12369 (vii)456786 (viii)964152 (ix)1234 (x)24566

(5) Check whether the following numbers are divisible by 9.
(i)81756 (ii)77782 (iii)672588 (iv)5678 (v)517248
(vi)97281 (vii)45638 (viii)909082 (ix)12339 (x)64826

(6) Check whether the following numbers are divisible by 6.
(i)753216 (ii)453212 (iii)11111112 (iv)28524 (v)94506
(vi)65274 (vii)832451 (viii)256784 (ix)28584 (x)142367

(7) Check whether the following numbers are divisible by 5.
(i) 3465 (ii) 9870 (iii) 99184 (iv) 76513 (v) 8710
(vi) 73969 (vii) 34785 (viii) 45780 (ix) 50000 (x) 10234

(8) Check whether the numbers in Question (7) are divisible by 10.
(i) 3465 (ii) 9870 (iii) 99184 (iv) 76513 (v) 8710
(vi) 73969 (vii) 34785 (viii) 45780 (ix) 50000 (x) 10234

(9) Check whether the following numbers are divisible by 7.
(i)994 (ii)8267 (iii)2799 (iv)5508 (v)1239
(vi)49874 (vii)78498 (viii)2793 (ix)123031 (x) 5432

(10) Check whether the following numbers are divisible by 11.
(i)36553 (ii)987654 (iii)352715 (iv)789564 (v)43923
(vi)247963 (vii)391783 (viii)25344 (ix)571394 (x)13574

For Answers see at the bottom of the page.

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## Answers to Divisibility Test, for 2 to 11

Answers to Divisibility Test problems :(1)(i) yes (ii) yes (iii) no (iv) yes (v) no
(vi) no (vii) yes (viii) yes (ix) no (x) yes

(2) (i) yes(ii) no(iii) no(iv) yes(v) no
(vi) yes (vii) no (viii) yes (ix) yes (x) no

(3) (i) yes (ii) yes (iii) no (iv) yes (v) yes
(vi) yes (vii) no (viii) yes (ix) yes (x) no

(4) (i) yes (ii) yes (iii) no (iv) yes (v) no
(vi) yes (vii) no (viii) yes (ix) no (x) no

(5) (i) yes (ii) no (iii) yes (iv) no (v) yes
(vi) yes (vii) no (viii) no (ix) yes (x) no

(6) (i) yes (ii) no (iii) yes (iv) yes (v) no
(vi) yes (vii) no (viii) no (ix) yes (x) no

(7) (i) yes (ii) yes (iii) no (iv) no (v) yes
(vi) no (vii) yes (viii) yes (ix) yes (x) no

(8) (i) no (ii) yes (iii) no (iv) no (v) yes
(vi) no (vii) no (viii) yes (ix) yes (x) no

(9) (i) yes (ii) yes (iii) no (iv) no (v) yes
(vi) no (vii) yes (viii) yes (ix) no (x) yes

(10) (i) yes (ii) no (iii) yes (iv) no (v) yes
(vi) no (vii) no (viii) yes (ix) no (x) yes

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