Divisors of 485

When we talk about the divisors of a number, we are referring to the numbers that can divide a given number without leaving a remainder. Understanding divisors helps us in various areas of math and can be useful in solving problems in everyday life. In this article, we will explore the concept of divisors particularly using the number 485 as an example.

To understand divisors, we first need to look at the basic concept of division. Division is a way of splitting a number into equal parts. In division, we have three important terms:

1. Dividend: This is the number we want to divide. In our case, the dividend is 485.
2. Divisor: This is the number we are dividing by. For example, if we divide 485 by 5, then 5 is the divisor.
3. Quotient: This is the result of the division. If 485 is divided by 5, the quotient is how many times 5 fits into 485.

Let’s see this with an example:

485 / 5 = 97

Here, 485 is the dividend, 5 is the divisor, and 97 is the quotient.

Now, let’s find the divisors of 485 by checking all numbers from 1 up to 485. We will divide 485 by each whole number and see if the result is a whole number. If there is no remainder, that number is a divisor of 485.

Here’s how to calculate the divisors step by step:

1. Start with the number 1 and go all the way up to 485.
2. For each number, divide 485 by it.
3. Check the result (the quotient). If it is a whole number (meaning there is no fraction or decimal), then that number is a divisor.

Now, let’s divide 485 by the first few integers and discover which ones are divisors:

• 485 / 1 = 485 (whole number, so 1 is a divisor)
• 485 / 2 = 242.5 (not a whole number)
• 485 / 3 = 161.666… (not a whole number)
• 485 / 4 = 121.25 (not a whole number)
• 485 / 5 = 97 (whole number, so 5 is a divisor)
• 485 / 6 = 80.833… (not a whole number)
• 485 / 7 = 69.2857… (not a whole number)
• 485 / 8 = 60.625 (not a whole number)
• 485 / 9 = 53.888… (not a whole number)
• 485 / 10 = 48.5 (not a whole number)
• 485 / 11 = 44.0909… (not a whole number)
• 485 / 13 = 37.3077… (not a whole number)
• 485 / 17 = 28.5294… (not a whole number)
• 485 / 25 = 19.4 (not a whole number)
• 485 / 29 = 16.7241… (not a whole number)
• 485 / 35 = 13.8571… (not a whole number)
• 485 / 97 = 5 (whole number, so 97 is a divisor)
• 485 / 485 = 1 (whole number, so 485 is a divisor)

In summary, we have:

1. 1 (divisor)
2. 5 (divisor)
3. 97 (divisor)
4. 485 (divisor)

Even though we have calculated the divisors for numbers up to 97, we can deduce that 485 has only a few divisors in this case. The complete list of divisors for 485 is:

Divisors of 485: 1, 5, 97, 485

In conclusion, the divisors of the number 485 are 1, 5, 97, and 485 itself. Each of these numbers can divide 485 evenly without leaving any remainder. Understanding divisors not only helps in math but also enhances our problem-solving skills in various situations.