Fill In Whether The Given Number Is Divisible By 2, 5, And/or 10.\begin{tabular}{|c|c|c|}\hline Number & Divisible By 2, 5, 10 & Result \\\hline A) 20 & 2, 5, 10 & Yes \\b) 56 & 2 & Yes \\c) 74 & 2 & Yes \\d) 98 & 2 & Yes \\\hline 35 & 5 & Yes \\70 &
**Fill in whether the given number is divisible by 2, 5, and/or 10: A Comprehensive Guide**
What is Divisibility?
Divisibility is a fundamental concept in mathematics that deals with the ability of a number to be divided by another number without leaving a remainder. In this article, we will explore the divisibility rules for 2, 5, and 10, and provide a comprehensive guide on how to determine whether a given number is divisible by these numbers.
Divisibility by 2
A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8. This is because the last digit of the number determines whether it is even or odd. Even numbers can be divided by 2 without leaving a remainder.
Example:
- 20 is divisible by 2 because it ends in 0.
- 56 is divisible by 2 because it ends in 6.
- 74 is divisible by 2 because it ends in 4.
- 98 is divisible by 2 because it ends in 8.
Divisibility by 5
A number is divisible by 5 if it ends in 0 or 5. This is because the last digit of the number determines whether it is a multiple of 5.
Example:
- 35 is divisible by 5 because it ends in 5.
- 70 is divisible by 5 because it ends in 0.
Divisibility by 10
A number is divisible by 10 if it ends in 0. This is because the last digit of the number determines whether it is a multiple of 10.
Example:
- 20 is divisible by 10 because it ends in 0.
Q&A
Q: What is the divisibility rule for 2?
A: A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8.
Q: What is the divisibility rule for 5?
A: A number is divisible by 5 if it ends in 0 or 5.
Q: What is the divisibility rule for 10?
A: A number is divisible by 10 if it ends in 0.
Q: How can I determine whether a number is divisible by 2, 5, or 10?
A: You can use the divisibility rules mentioned above to determine whether a number is divisible by 2, 5, or 10.
Q: What are some examples of numbers that are divisible by 2, 5, and 10?
A: Some examples of numbers that are divisible by 2, 5, and 10 include 20, 56, 74, 98, 35, and 70.
Q: What are some examples of numbers that are not divisible by 2, 5, or 10?
A: Some examples of numbers that are not divisible by 2, 5, or 10 include 23, 37, 49, and 67.
Conclusion
In conclusion, divisibility is a fundamental concept in mathematics that deals with the ability of a number to be divided by another number without leaving a remainder. The divisibility rules for 2, 5, and 10 are simple and easy to remember, and can be used to determine whether a given number is divisible by these numbers. By following the divisibility rules mentioned above, you can easily determine whether a number is divisible by 2, 5, or 10.
Frequently Asked Questions
Q: What is the divisibility rule for 3?
A: A number is divisible by 3 if the sum of its digits is divisible by 3.
Q: What is the divisibility rule for 4?
A: A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
Q: What is the divisibility rule for 6?
A: A number is divisible by 6 if it is divisible by both 2 and 3.
Q: What is the divisibility rule for 7?
A: A number is divisible by 7 if the difference between twice the digit at the units place and the number formed by the remaining digits is divisible by 7.
Q: What is the divisibility rule for 8?
A: A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
Q: What is the divisibility rule for 9?
A: A number is divisible by 9 if the sum of its digits is divisible by 9.
Q: What is the divisibility rule for 11?
A: A number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 11.
Q: What is the divisibility rule for 12?
A: A number is divisible by 12 if it is divisible by both 3 and 4.
Q: What is the divisibility rule for 13?
A: A number is divisible by 13 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 13.
Q: What is the divisibility rule for 14?
A: A number is divisible by 14 if it is divisible by both 2 and 7.
Q: What is the divisibility rule for 15?
A: A number is divisible by 15 if it is divisible by both 3 and 5.
Q: What is the divisibility rule for 16?
A: A number is divisible by 16 if the number formed by its last four digits is divisible by 16.
Q: What is the divisibility rule for 17?
A: A number is divisible by 17 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 17.
Q: What is the divisibility rule for 18?
A: A number is divisible by 18 if it is divisible by both 2 and 9.
Q: What is the divisibility rule for 19?
A: A number is divisible by 19 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 19.
Q: What is the divisibility rule for 20?
A: A number is divisible by 20 if it is divisible by both 4 and 5.
Q: What is the divisibility rule for 21?
A: A number is divisible by 21 if it is divisible by both 3 and 7.
Q: What is the divisibility rule for 22?
A: A number is divisible by 22 if it is divisible by both 2 and 11.
Q: What is the divisibility rule for 23?
A: A number is divisible by 23 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 23.
Q: What is the divisibility rule for 24?
A: A number is divisible by 24 if it is divisible by both 3 and 8.
Q: What is the divisibility rule for 25?
A: A number is divisible by 25 if it ends in 00, 25, 50, or 75.
Q: What is the divisibility rule for 26?
A: A number is divisible by 26 if it is divisible by both 2 and 13.
Q: What is the divisibility rule for 27?
A: A number is divisible by 27 if the sum of its digits is divisible by 9.
Q: What is the divisibility rule for 28?
A: A number is divisible by 28 if it is divisible by both 4 and 7.
Q: What is the divisibility rule for 29?
A: A number is divisible by 29 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 29.
Q: What is the divisibility rule for 30?
A: A number is divisible by 30 if it is divisible by both 3 and 10.
Q: What is the divisibility rule for 31?
A: A number is divisible by 31 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 31.
Q: What is the divisibility rule for 32?
A: A number is divisible by 32 if the number formed by its last five digits is divisible by 32.
Q: What is the divisibility rule for 33?
A: A number is divisible by 33 if it is divisible by both 3 and 11.
Q: What is the divisibility rule for 34?
A: A number is divisible by 34 if it is divisible by both 2 and 17.
Q: What is the divisibility rule for 35?
A: A number is divisible by 35 if it is divisible by both 5 and 7.
Q: What is the divisibility rule for 36?
A: A number is divisible by 36 if it is divisible by both 4 and 9