Divisors of 608

Divisors are the numbers that can evenly divide another number without leaving a remainder. Understanding divisors is important for various mathematical concepts, especially in areas like fractions, ratios, and number theory. In this article, we will explore what divisors are using the number 608 as our example.

To begin, let’s talk about division. Division is the process of splitting a number into equal parts. In a division situation, we have three important terms: the dividend, the divisor, and the quotient.

• The dividend is the number you want to divide.
• The divisor is the number you are dividing by.
• The quotient is the result of the division.

For example, if we take the number 608 and divide it by 8, we set it up like this:

608 / 8 = 76

In this case:

• 608 is the dividend,
• 8 is the divisor,
• 76 is the quotient.

Now, let’s find the divisors of 608 step by step. We will check which numbers can divide 608 evenly. To do this, we will try dividing 608 by every whole number starting from 1 up to 608.

1. Start with 1:

   • 608 / 1 = 608 (Whole number, so 1 is a divisor)

2. Next, try 2:

   • 608 / 2 = 304 (Whole number, so 2 is a divisor)

3. Now, try 3:

   • 608 / 3 = 202.67 (Not a whole number, so 3 is not a divisor)

4. Move to 4:

   • 608 / 4 = 152 (Whole number, so 4 is a divisor)

5. Check 5:

   • 608 / 5 = 121.6 (Not a whole number, so 5 is not a divisor)

6. Next is 6:

   • 608 / 6 = 101.33 (Not a whole number, so 6 is not a divisor)

7. Try 7:

   • 608 / 7 = 86.86 (Not a whole number, so 7 is not a divisor)

8. Next, 8:

   • 608 / 8 = 76 (Whole number, so 8 is a divisor)

9. Now, check 9:

   • 608 / 9 = 67.56 (Not a whole number, so 9 is not a divisor)
10. Finally, try 10:
    • 608 / 10 = 60.8 (Not a whole number, so 10 is not a divisor)

So far, we have found that the divisors of 608 include: 1, 2, 4, and 8. We can continue this process for other numbers up to 608 to find more divisors.

To summarize our findings, let’s list all the divisors of 608. After checking all integers up to 608, we find that the complete list of divisors is:

1, 2, 4, 8, 16, 38, 76, 152, 304, 608

In conclusion, understanding divisors helps us explore how numbers relate to one another. The divisors of 608 are indeed 1, 2, 4, 8, 16, 38, 76, 152, 304, and 608. These numbers can divide 608 evenly, confirming their status as divisors.