Lesson 2 Module 2

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

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

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

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.

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.

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.

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

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

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

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

• True

• False