Signs of division in 3, 6 and 9 - Examples, Exercises and Solutions

Divisibility criteria for 33, 66 and 99

Divisibility criteria for 33

A number is divisible by 33 if the sum of its digits is a multiple of 33.

Divisibility criteria for 66

A number is divisible by 66 if it is even and also a multiple of 33.

Divisibility criteria for99

A number is divisible by 99 if the sum of its digits is a multiple of 99.

Suggested Topics to Practice in Advance

  1. Prime Numbers and Composite Numbers
  2. Prime Factorization
  3. Prime Factorization with Exponents
  4. Divisibility Rules for 2, 4, and 10

Practice Signs of division in 3, 6 and 9

Exercise #1

Will a number divisible by 6 necessarily be divisible by 2?

Video Solution

Answer

Yes

Exercise #2

Determine if the following number is divisible by 3:

132 132

Video Solution

Answer

Yes

Exercise #3

Determine if the following number is divisible by 3:

352 352

Video Solution

Answer

No

Exercise #4

Determine if the following number is divisible by 3:

673 673

Video Solution

Answer

No

Exercise #5

Determine if the following number is divisible by 3:

564 564

Video Solution

Answer

Yes

Exercise #1

Will a number divisible by 9 necessarily be divisible by 6?

Video Solution

Answer

No

Exercise #2

Will a number divisible by 3 necessarily be divisible by 6?

Video Solution

Answer

No

Exercise #3

Will a number divisible by 9 necessarily be divisible by 3?

Video Solution

Answer

Yes

Exercise #4

Will a number divisible by 3 necessarily be divisible by 9?

Video Solution

Answer

No

Exercise #5

Will a number divisible by 2 necessarily be divisible by 6?

Video Solution

Answer

No

Exercise #1

Is the number below divisible by 9?

189 189

Video Solution

Answer

Yes

Exercise #2

Is the number below divisible by 9?

987 987

Video Solution

Answer

No

Exercise #3

Is the number below divisible by 9?

685 685

Video Solution

Answer

No

Exercise #4

Is the number below divisible by 9?

999 999

Video Solution

Answer

Yes

Exercise #5

Determine if the following number is divisible by 6:

876 876

Video Solution

Answer

Yes