Is 65 A Multiple Of 5

Is 65 a Multiple of 5? A Quick Guide to Divisibility

This quick guide will answer the question: Is 65 a multiple of 5? We'll explore the concept of multiples and divisibility rules to understand why the answer is yes – and how you can quickly determine if other numbers are multiples of 5. Understanding multiples is fundamental to various mathematical concepts, from simple arithmetic to more advanced algebra.

Understanding Multiples

A multiple of a number is the product of that number and any integer (whole number). For example, multiples of 5 include: 5 (5 x 1), 10 (5 x 2), 15 (5 x 3), 20 (5 x 4), and so on. Essentially, multiples are numbers that can be divided evenly by the original number without leaving a remainder.

The Divisibility Rule for 5

A simple way to determine if a number is a multiple of 5 is to check its last digit. If the last digit is either 0 or 5, the number is divisible by 5. This rule is based on the structure of our decimal number system.

Applying the Rule to 65

Let's apply the divisibility rule to 65. The last digit of 65 is 5. Therefore, according to the rule, 65 is divisible by 5.

Proof:

To confirm, we can perform the division: 65 ÷ 5 = 13. Since the division results in a whole number (13), 65 is indeed a multiple of 5.

Beyond 65: Identifying Other Multiples of 5

Using the divisibility rule, we can quickly identify if other numbers are multiples of 5. For example:

• 70: The last digit is 0, so 70 is a multiple of 5 (70 ÷ 5 = 14).
• 125: The last digit is 5, so 125 is a multiple of 5 (125 ÷ 5 = 25).
• 999: The last digit is 9, so 999 is not a multiple of 5.

Conclusion:

Yes, 65 is a multiple of 5. Understanding divisibility rules, like the one for 5, provides a quick and efficient way to determine multiples without performing lengthy divisions. This simple rule is a helpful tool in various mathematical contexts and problem-solving scenarios. Remember, if the last digit of a number is 0 or 5, it's a multiple of 5!