Question

1.Using divisibility rules,check the divisibility of the following numbers. by 2,3,4,5,6,9 and 10.
a)7390
b)628712
c)20994
d)43490
e)426564​

Answer 1

Please mark brainliest if helpful

✪Given:-

• Using divisibility rules,check the divisibility of the following numbers. by 2,3,4,5,6,9 and 10.

➪To find:-

• 7390 is divisible by 2,3,4,5,6,910or not!

✔Solution:-

Test divisibility by 2 of 7390

• 7390

• The last digit of the number is even hemce, the given number 7390 is also divisible by 2.

Test divisibility by 3 of 7390

• 7390=7+3+9+0

• =>19

• 19÷3

• Remainder=1

• Hence, the number 7390 is not divisible by 3 as the sum of the number is not divisible by 3.

Test divisibility by 4 of 7390

• 7390

• 90÷4

• 22.5

• 7390 is now divisible by 4 as the last two numbers are not Exacty divisible by 4.

Test divisibility by 5 of 7390

• 7390

• The number 7390 has the number 0 at last , hence,the number 7390 is also divisible by 7390.

Test divisibility by 6 of 7390

• 7390

• =>7+3+9+0

• =>19

• =>19÷6

• =>3.166

• The sum of the number is not exactly divisible by 6 hence, the number 7390 is also not divisible by 6.

Test divisibility by 9 of 7390

• 7390

• =>7+3+9+0

• =>19

• 19÷9

• 2.111

• The sum of the number 7390 is not exactly divisible by 9 , hence,the number too is not divisible by 9.

Test divisibility by 10 of 7390

• 7390

• =>The number 7390 is divisible by 10 as the last number has the digit zero(0).

➪To find:-

• 628712 is divisible by 2,3,4,5,6,9,10 or not

✔Solution:-

Test divisibility by 2 of 628712

• 628712

• The last digit of the number is even hemce, the given number 628712 is also divisible by 2.

Test divisibility by 3 of 628712

• 628712=6+2+8+7+1+2

• =>26

• 26÷3

• 8.666

• Hence, the number 628712 is not divisible by 3 as the sum of the number is not divisible by 3.

Test divisibility by 4 of 628712

• 628712

• 12÷4

• 3

• 628712 is divisible by 4 as the last two numbers are Exacty divisible by 4.

Test divisibility by 5 of

• 628712

• The number 628712 has the number 0 at last , hence,the number 628712 is also divisible by the number.

Test divisibility by 6 of 628712

• 628712

• =>6+2+8+7+1+2

• =>26

• =>26÷6

• =>4.33

• The sum of the number is not exactly divisible by 6 hence, the number 628712 is also not divisible by 6.

Test divisibility by 9 of 628712

• 628712

• =>6+2+8+7+1+2

• =>26

• 26÷9

• 2.8

• The sum of the number 628712 is not exactly divisible by 9 , hence,the number too is not divisible by 9.

Test divisibility by 10 of 628712

• 628712

• =>The number 628712 is not divisible by 10 as the last number dont have the digit zero(0).

➪To find:-

• 20994 is divisible by 2,3,4,5,6,9& 10 or not.

✔Solution:-

Test divisibility by 2 of 20994

• 20994

• The last digit of the number is even hence, the given number 20994 is also divisible by 2.

Test divisibility by 3 of 20994

• 20994=2+0+9+9+4

• =>24

• 24÷3

• =>8

• Hence, the number 20994 is divisible by 3 as the sum of the number is divisible by 3.

Test divisibility by 4 of 20994

• 20994

• 94÷4

• 23.25

• 20994 is not divisible by 4 as the last two numbers are not Exacty divisible by 4.

Test divisibility by 5 of 20994

• 20994

• The number 7390 has the number 4 at last , hence,the number 20994 is also not divisible by 4

Test divisibility by 6 of 20994

• 20994

• =>2+0+9+9+4

• =>24

• =>24÷6

• =>4

• The sum of the number is exactly divisible by 6 hence, the number 20994 is also divisible by 6.

Test divisibility by 9 of 20994

• 20994

• =>2+0+9+9+4

• =>24÷9

• 2.6

The sum of the number 20994 is not exactly divisible by 9 , hence,the number too is not divisible by 9.

Test divisibility by 10 of 20994

• 20994

• =>The number 20994 is not divisible by 10 as the last number do not has the digit zero(0).

➪To find:-

• 43490 is divisible by 2,3,4,5,6,9,10 or not!

✔Solution:-

Test divisibility by 2

• 43490

• The last digit of the number is even hemce, the given number 43490 is also divisible by 2.

Test divisibility by 3 of 43490

• 43490=4+3+4+9+0

• =>20

• 20÷3

• =>6.666

• Hence, the number 43490 is not divisible by 3 as the sum of the number is not divisible by 3.

Test divisibility by 4 of 43490

• 43490

• 90÷4

• 22.5

• 43490 is not divisible by 4 as the last two numbers are not Exacty divisible by 4.

Test divisibility by 5 of 43490

• 43490

• The number 43490 has the number 0 at last , hence,the number 4349 is also divisible by 5

Test divisibility by 6 of 7390

• 43490

• =>4+3+4+9+0

• =>20

• =>20÷6

• =>3.333

• The sum of the number is not exactly divisible by 6 hence, the number 43490 is also not divisible by 6.

Test divisibility by 9 of 43490

• 43490

• =>4+3+4+9+0

• =>20

• 20÷9

• =>2.22

• The sum of the number 43490 is not exactly divisible by 9 , hence,the number too is not divisible by 9.

Test divisibility by 10 of 43490

• 4349

• =>The number 43490 is divisible by 10 as the last number has the digit zero(0).

➪To find:-

• 426564 is divisible by 2 or not.

✔Solution:-

• it is divisible by 2 as last number is even.

• Hence the number 426564 is also divisible by 2.

To find:-

• 426564 is divisible by 3 or not.

Solution:-

• Sum of the number 4+2+6+5+6+4

• =>27

• =>27÷3

• =>9

• Yes the number 426564 is divisible by 3 as sum of the number is exactly divisible by 3.

To find:-

• 426564 is divisible by 4 or not.

Solution:-

• 426564

• 64÷4

• =>16

• Last two numbers are exactly divisible by 4 hence the number 426564 is also divisible by 4.

Hope it helped!

Answer 2

Given data: 7390, 628712, 20994, 43490 and 426564

To find: Divisibility rule by 2, 3, 4, 5, 6, 9 and 10.

Solution:

If the number ends with even number then it is divisible by 2.

7390, 628712, 20994, 43490 and 426564 are divisible by 3.

If the number ends with 0 or 5 then it is divisible by 5.

7390 and 43490 are divisible by 5.

If the number ends with 0 then it is divisible by 10.

7390 and 43490 are divisible by 10.

If sum of given number is divisible by 3 then the given number is divisible by 3.

20994 and 426564 are divisible by 3.

If last two digit of the given number is divisible by 4 then the given number is divisible by 4.

628712 and 426564 are divisible by 4.

If the number is divided by 2 and 3 then it is divisible by 6.

20994 and 426564 are divisible by 6.

If the sum of number is divisible by 9 then the given number is divisible by 9.

426564 are divisible by 9.