Divisors of 473

Divisors of a number are the integers that can divide that number without leaving a remainder. In simpler terms, if you can divide a number evenly, it means that number is a divisor. For example, if you are looking for divisors of 14, the number 1 can divide 14 evenly because 14 divided by 1 is 14. The purpose of this article is to help you understand divisors and show you how to find them, specifically for the number 473.

To understand divisors better, we need to look at the concept of division. Division is a mathematical operation where we split a number into equal parts. In division, we have three main terms:

1. Dividend: The number we want to divide. In our case, this is 473.
2. Divisor: The number we are dividing by.
3. Quotient: The result of the division.

Let’s take an example using the number 473. If we want to divide 473 by 1, we can write it like this:
473 / 1 = 473
Here, 473 is the dividend, 1 is the divisor, and 473 is the quotient.

Now, let’s find the divisors of 473 step by step. We are going to divide 473 by every integer from 1 up to 473 itself and see if we get a whole number as a quotient.

1. Start with 1:
   473 / 1 = 473 (whole number)

2. Next, try 2:
   473 / 2 = 236.5 (not a whole number)

3. Now try 3:
   473 / 3 = 157.6667 (not a whole number)

4. Next is 4:
   473 / 4 = 118.25 (not a whole number)

5. Try 5:
   473 / 5 = 94.6 (not a whole number)

6. Then try 6:
   473 / 6 = 78.8333 (not a whole number)

7. Move to 7:
   473 / 7 = 67.5714 (not a whole number)

8. Next is 8:
   473 / 8 = 59.125 (not a whole number)

9. Then try 9:
   473 / 9 = 52.5556 (not a whole number)

10. Finally, try 11:
    473 / 11 = 43.9091 (not a whole number)

Let’s see which of these calculations resulted in whole numbers. So far, only dividing by 1 produced a whole number.

Continuing this method further, we arrive at some additional divisors as follows (for brevity, we will skip to integers that may yield whole numbers):

• 473 / 473 = 1 (whole number)

Thus, the only divisors we have found for the number 473 through division are 1 and 473.

To summarize, the divisors of 473 are:

• 1
• 473

In conclusion, the full list of divisors for the number 473 is simply:
1, 473