Yes, numbers that end in three zeros are divisible by 2, 4, 8, 5, and 10. Here's a breakdown with reasoning and examples:

1. Divisibility by 2:

• A number is divisible by 2 if its last digit is even.
• If a number ends in three zeros (e.g., 1000, 2000), it obviously ends with an even number (0), so it is divisible by 2.

2. Divisibility by 4:

• A number is divisible by 4 if the last two digits are divisible by 4.
• Any number ending in "00" is divisible by 4 (e.g., 1000, 4000), because 00 ÷ 4 = 0.

3. Divisibility by 8:

• A number is divisible by 8 if the last three digits are divisible by 8.
• Since a number ending in three zeros is essentially "000," which is divisible by 8 (e.g., 1000 ÷ 8 = 125), the whole number is divisible by 8.

4. Divisibility by 5:

• A number is divisible by 5 if its last digit is 0 or 5.
• Numbers ending in three zeros clearly end in 0, so they are divisible by 5.

5. Divisibility by 10:

• A number is divisible by 10 if its last digit is 0.
• Again, numbers ending in three zeros satisfy this condition, so they are divisible by 10.

Example 1: $1000$

• $1000 \div 2 = 500$ (divisible by 2)
• $1000 \div 4 = 250$ (divisible by 4)
• $1000 \div 8 = 125$ (divisible by 8)
• $1000 \div 5 = 200$ (divisible by 5)
• $1000 \div 10 = 100$ (divisible by 10)

Example 2: $5000$

• $5000 \div 2 = 2500$ (divisible by 2)
• $5000 \div 4 = 1250$ (divisible by 4)
• $5000 \div 8 = 625$ (divisible by 8)
• $5000 \div 5 = 1000$ (divisible by 5)
• $5000 \div 10 = 500$ (divisible by 10)

In conclusion, any number ending in three zeros will always be divisible by 2, 4, 8, 5, and 10.

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Do you want more details on any part of the explanation, or have any questions?

Here are 5 related questions:

1. What about numbers ending in fewer zeros? Are they still divisible by these numbers?
2. How do we check divisibility by other numbers like 3 or 9?
3. Can a number be divisible by 8 but not by 4?
4. Why are divisibility rules important in mathematics?
5. How does divisibility help in simplifying large numbers?

Tip: Knowing divisibility rules can help you quickly identify factors of large numbers without performing division!