Module 2, Lesson 2

Multiple Choice

Determine whether the number 272 is divisible by 2.

• Yes. The number 272 is divisible by 2 because 272 is even.

• No. The number 272 is not divisible by 2 because 7 is not even.

Multiple Choice

Determine whether the number 272 is divisible by 3.

• Yes. The number 272 is divisible by 3 because it ends in a 2 which is even.

• No. The number 272 is not divisible by 3 because the sum of its digits is 11, which is not divisible by 3.

Multiple Choice

Determine whether the number 272 is divisible by 4. Explain your reasoning.

• Yes. The number 272 is divisible by 4. The number 280 is divisible by 4 because 72 is divisible by 4 because 4x18=72.

• No. The number 272 is not divisible by 4 because 2 is not divisible by 4 so 272 can't be divisible by 4.

Multiple Select

Which of the following numbers is divisible by 5?

• 135

• 142

• 150

• 153

Multiple Choice

Is 5,652 divisible by 6?

• Yes, because it is divisible by both 2 and 3.

• No, because it is not divisible by 2.

• No, because it is not divisible by 3.

• Yes, because it is an even number.

Multiple Choice

Make a conjecture about the rule for each diagram. Numbers inside the circle follow the rule. Numbers outside the circle do not follow the rule.

• Divisible by 2
• Divisible by 3

• Divisible by 5

• Divisible by 4

Multiple Choice

Make a conjecture about the rule for each diagram. Numbers inside the circle follow the rule. Numbers outside the circle do not follow the rule.

• Divisible by 3
• Divisible by 2

• Divisible by 4

• Divisible by 5

Multiple Choice

Make a conjecture about the rule for each diagram. Numbers inside the circle follow the rule. Numbers outside the circle do not follow the rule.

• Divisible by 6
• Divisible by 5

• Divisible by 3

• Divisible by 2

Multiple Choice

The Ancient One has been counting since the dawn of time. He has just reached the number 1,000,000,000,010. What is the next number the Ancient One will count that is divisible by 2?

• 1,000,000,000,012

• 1,000,000,000,015

• 1,000,000,000,011

• 1,000,000,000,014

Multiple Choice

The Ancient One has been counting since the dawn of time. He has just reached the number 1,000,000,000,010. What is the next number the Ancient One will count that is divisible by 5?

• 1,000,000,000,012

• 1,000,000,000,015

• 1,000,000,000,011

• 1,000,000,000,014

Multiple Choice

The Ancient One has been counting since the dawn of time. He has just reached the number 1,000,000,000,010. What is the next number the Ancient One will count that is divisible by 6?

• 1,000,000,000,012

• 1,000,000,000,015

• 1,000,000,000,011

• 1,000,000,000,014

Multiple Choice

If a number is divisible by 9, then it is divisible by 3.

• True

• False

Multiple Choice

If a number is divisible by 3, then it is divisible by 9.

• True

• False

Multiple Select

The number 96 is divisible by which of the following numbers? Choose all that apply.

• 3

• 4

• 5

• 6

• 9

Multiple Choice

Ryan says that if a number is divisible by both 2 and 5, then it is also divisible by 10. Do you agree with Ryan?

• Yes, because a number divisible by both 2 and 5 must be divisible by 10.

• No, because a number divisible by both 2 and 5 is not necessarily divisible by 10.

• Yes, because any number divisible by 2 and 5 is always even.

• No, because divisibility by 2 and 5 does not imply divisibility by 10.

Multiple Select

Is 5,652 divisible by 3? Why?

• Yes

• No

• the sum of its digits is divisible by 3.

• the sum of its digits is not divisible by 3.

Multiple Select

The number 132 is divisible by which of the following numbers? Choose all that apply.

• 5

• 6

• 2

• 3

• 4

Multiple Select

The number 132,850 is divisible by which of the following numbers? Choose all that apply.

• 3

• 4

• 10

• 5

• 2

Multiple Choice

Consider the number 2,353. Find the next number that is divisible by 2.

• 2,354

• 2,355

• 2,356

• 2,357

Multiple Choice

Consider the number 2,353. Find the next number that is divisible by 3.

• 2,355

• 2,356

• 2,357

• 2,358

Multiple Choice

Consider the number 2,353. Find the next number that is divisible by 6.

• 2,358

• 2,354

• 2,360

• 2,362

Multiple Choice

Which of the following 3-digit numbers is greater than 700 and divisible by both 2 and 3?

• 702

• 711

• 725

• 735

Multiple Choice

Is the number 714 divisible by 7?

• Yes, 714 is divisible by 7.

• No, 714 is not divisible by 7.

Multiple Choice

Which of the following numbers is divisible by 2?

• 17

• 23

• 48

• 35

Multiple Choice

Which of the following statements correctly describes the divisibility rule for 3?

• A number is divisible by 3 if the sum of its digits is divisible by 3.

• A number is divisible by 3 if it ends in 3.

• A number is divisible by 3 if the last two digits form a number divisible by 3.

• A number is divisible by 3 if its last digit is 0.

Fill in the Blank

A number is divisible by 6 if it is divisible by both ___ and 3.

Fill in the Blank

A number is divisible by 10 if it ends in ___ .

Multiple Choice

What is the rule for determining if a number is divisible by 2?

• The number must end in an even digit (0, 2, 4, 6, or 8).

• The number must end in a 5 or 0.

• The number must be odd.

• The number must be a multiple of 3.