The question asks to identify which of the following integers are multiples of 36 from the given list: 72, 18, 9, 144, 324, and 12.

To check which are multiples of 36:

A number is a multiple of 36 if it is divisible by 36 (i.e., the remainder when divided by 36 is zero).

Let’s check each number:

• 72 ÷ 36 = 2 → 72 is a multiple of 36.
• 18 ÷ 36 = 0.5 → 18 is not a multiple of 36.
• 9 ÷ 36 = 0.25 → 9 is not a multiple of 36.
• 144 ÷ 36 = 4 → 144 is a multiple of 36.
• 324 ÷ 36 = 9 → 324 is a multiple of 36.
• 12 ÷ 36 = 0.333... → 12 is not a multiple of 36.

Conclusion:

The integers that are multiples of 36 are 72, 144, and 324.

Would you like more details on this, or do you have any other questions?

Here are 5 related questions:

1. What are the factors of 36?
2. How can you tell if a number is divisible by 36?
3. What is the least common multiple of 36 and 72?
4. How many multiples of 36 are there between 100 and 500?
5. Can you explain why 18 and 12 are not multiples of 36?

Tip: When checking if a number is a multiple of a given number, always try dividing it. If the result is a whole number, it's a multiple!