Elevens
Smallest Integer
Miscellaneous
Does It Divide? Buzzer Beaters
100

Is 225,225 divisible by 11?

Yes!

100

What is the smallest positive integer divisible by both 2 and 9?

18

100

Name the first five prime numbers.

2, 3, 5, 7, 11

100

Name three numbers (from 2, 3, 4, 5, 6, 8, 9, 10, 11) that divide 24.

Answers: 2, 3, 4, 6, 8

200

Clearly explain the divisibility rule for 11.

"a number is said to be divisible by 11 if the difference between the sum of alternating digits is 0/divisible by 11."

200

What is the smallest three-digit whole number divisible by 2, 3, and 5?

120

200

Is 123 prime?

No: it is divisible by 3!
200

Name three numbers (from 2, 3, 4, 5, 6, 8, 9, 10, 11) that divide 5500.

Answers: 2, 4, 5, 10, 11

300

Which digit (0 - 9) could fill in the blank to make 51_93 divisible by 11?

2

300

Using only 1's and 2's as digits, what is the smallest four-digit positive integer you can create that is divisible by three?

1122

300

Name four of the divisibility rules for the numbers 2, 3, 4, 5, 6, 8, 9, 10, and 11. 


300

Name two numbers (from 2, 3, 4, 5, 6, 8, 9, 10, 11) that divide 10935.

Answers: 3, 5, 9

400

What is the smallest positive integer greater than 50,000 divisible by 11?

50,006

400

What is the smallest four-digit positive integer divisible by both 8 and 9?

1008

400

How many positive numbers less than 360 are divisible by 8 and 9?

4: 72, 144, 216, 288

400

Name four numbers (from 2, 3, 4, 5, 6, 8, 9, 10, 11) that divide 2430.

Answers: 2, 3, 5, 6, 9, 10

500

What is the largest five-digit multiple of 11?

99990

500

What is the smallest 4-digit whole number divisible by 2, 3, 4, 5, 6, 8, 9, and 10?

1080

500

Using only the digits 1, 2, and 3, each at least once, what is the smallest positive integer that can be created that is divisible by 8 and 9?

3312

500

Name four numbers (from 2, 3, 4, 5, 6, 8, 9, 10, 11) that divide 586,971.

Answers: 3, 7, 9, 11

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