Examples of Numbers Divisible by 10

Oct 13, 2025 by miodeya.com 21 views

Divisibility Rules: Understanding Numbers Divisible by 10, 5, and 2

In mathematics, divisibility rules are essential concepts that help us determine whether a number is divisible by another number. In this article, we will explore the divisibility rules for 10, 5, and 2, and provide examples to illustrate these concepts.

A number is divisible by 10 if it ends in 0. This is because 10 is a multiple of 10, and any number that ends in 0 can be divided by 10 without leaving a remainder.

Examples of Numbers Divisible by 10

10: This number ends in 0, so it is divisible by 10.
20: This number ends in 0, so it is divisible by 10.
30: This number ends in 0, so it is divisible by 10.
40: This number ends in 0, so it is divisible by 10.

Answer to (a)

10: [X]
20: [X]
30: [X]
40: [X]

A number is divisible by 5 if it ends in 0 or 5. This is because 5 is a multiple of 5, and any number that ends in 0 or 5 can be divided by 5 without leaving a remainder.

Examples of Numbers Divisible by 5

5: This number ends in 5, so it is divisible by 5.
10: This number ends in 0, so it is divisible by 5.
15: This number ends in 5, so it is divisible by 5.
20: This number ends in 0, so it is divisible by 5.

Answer to (b)

5: [X]
10: [X]
15: [X]
20: [X]

A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8. This is because 2 is a multiple of 2, and any number that ends in one of these digits can be divided by 2 without leaving a remainder.

Examples of Numbers Divisible by 2

2: This number ends in 2, so it is divisible by 2.
4: This number ends in 4, so it is divisible by 2.
6: This number ends in 6, so it is divisible by 2.
8: This number ends in 8, so it is divisible by 2.
10: This number ends in 0, so it is divisible by 2.

Answer to (c)

2: [X]
4: [X]
6: [X]
8: [X]
10: [X]

In our previous article, we explored the divisibility rules for 10, 5, and 2. In this article, we will answer some frequently asked questions about divisibility rules to help you better understand these concepts.

Q: What is the divisibility rule for 3?

A: The divisibility rule for 3 states that a number is divisible by 3 if the sum of its digits is divisible by 3. For example, the number 123 is divisible by 3 because 1 + 2 + 3 = 6, which is divisible by 3.

Q: How do I determine if a number is divisible by 4?

A: To determine if a number is divisible by 4, you need to check if the last two digits of the number form a number that is divisible by 4. For example, the number 124 is divisible by 4 because 24 is divisible by 4.

Q: What is the divisibility rule for 6?

A: The divisibility rule for 6 states that a number is divisible by 6 if it is divisible by both 2 and 3. This means that the number must end in 0, 2, 4, 6, or 8, and the sum of its digits must be divisible by 3.

Q: How do I determine if a number is divisible by 9?

A: To determine if a number is divisible by 9, you need to check if the sum of its digits is divisible by 9. For example, the number 123 is divisible by 9 because 1 + 2 + 3 = 6, which is not divisible by 9. However, the number 108 is divisible by 9 because 1 + 0 + 8 = 9, which is divisible by 9.

Q: What is the divisibility rule for 7?

A: The divisibility rule for 7 is a bit more complex. To determine if a number is divisible by 7, you need to multiply the last digit of the number by 2 and subtract this product from the remaining digits. If the result is divisible by 7, then the original number is also divisible by 7.

Q: How do I determine if a number is divisible by 11?

A: To determine if a number is divisible by 11, you need to alternate the addition and subtraction of the digits of the number. For example, the number 1234 is divisible by 11 because (1 - 2 + 3 - 4) = -2, which is not divisible by 11. However, the number 12321 is divisible by 11 because (1 - 2 + 3 - 2 + 1) = 1, which is divisible by 11.

Q: What is the divisibility rule for 8?

A: The divisibility rule for 8 states that a number is divisible by 8 if the last three digits of the number form a number that is divisible by 8. For example, the number 1248 is divisible by 8 because 248 is divisible by 8.

In conclusion, divisibility rules are essential concepts in mathematics that help us determine whether a number is divisible by another number. By understanding the divisibility rules for various numbers, we can easily identify which numbers are divisible by these numbers. We hope this article has provided you with a clear understanding of these concepts and has helped you to improve your math skills.

[Divisibility Rules for 10, 5, and 2](link to previous article)
[Divisibility Rules for 3, 4, 6, 9, 7, 11, and 8](link to additional resources)
[Mathematics Tutorials and Resources](link to additional resources)

Q: What is the divisibility rule for 3?
Q: How do I determine if a number is divisible by 4?
Q: What is the divisibility rule for 6?
Q: How do I determine if a number is divisible by 9?
Q: What is the divisibility rule for 7?
Q: How do I determine if a number is divisible by 11?
Q: What is the divisibility rule for 8?