Divisors of a number are the integers that you can divide that number by without leaving a remainder. In simpler terms, a divisor is a number that fits perfectly into another number. For example, if you have the number 12, then 3 is a divisor because when you divide 12 by 3, there is no remainder. This article will help you understand how to find the divisors of a number by looking at an example: the number 656.
To understand divisors, you first need to know about division. Division is basically splitting a number into equal parts. In division, the number you want to divide is called the “dividend,” the number you are dividing by is called the “divisor,” and the result you get is called the “quotient.” Here’s a simple formula:
For example, if we divide 656 by 1, it looks like this:
656 / 1 = 656
In this case, 656 is the dividend, 1 is the divisor, and 656 is also the quotient since there are no leftovers.
Now, let’s find the divisors of 656. To do this, you will divide 656 by every integer starting from 1 all the way up to 656. If the result is a whole number, then the divisor is valid!
Here’s how you can calculate the divisors of 656 step-by-step:
1. Start with the number 1 and divide 656 by 1.
2. Next, divide 656 by 2.
3. Then, divide 656 by 3.
4. Continue this process until you reach 656.
Let’s go through these division calculations.
1. 656 / 1 = 656 (a whole number, so 1 is a divisor)
2. 656 / 2 = 328 (a whole number, so 2 is a divisor)
3. 656 / 3 = 218.67 (not a whole number, so 3 is not a divisor)
4. 656 / 4 = 164 (a whole number, so 4 is a divisor)
5. 656 / 5 = 131.2 (not a whole number, so 5 is not a divisor)
6. 656 / 6 = 109.33 (not a whole number, so 6 is not a divisor)
7. 656 / 7 = 93.71 (not a whole number, so 7 is not a divisor)
8. 656 / 8 = 82 (a whole number, so 8 is a divisor)
9. 656 / 9 = 72.88 (not a whole number, so 9 is not a divisor)
10. 656 / 10 = 65.6 (not a whole number, so 10 is not a divisor)
11. 656 / 11 = 59.64 (not a whole number, so 11 is not a divisor)
12. 656 / 12 = 54.67 (not a whole number, so 12 is not a divisor)
13. 656 / 13 = 50.46 (not a whole number, so 13 is not a divisor)
14. 656 / 14 = 46.71 (not a whole number, so 14 is not a divisor)
15. 656 / 16 = 41 (a whole number, so 16 is a divisor)
Continuing this way, you will find other divisors. For brevity, we will stop here and summarize the known divisors.
In conclusion, after continuing the division calculations, we can identify all the divisors of 656. Here is the neat list of all the divisors:
1, 2, 4, 8, 16, 41, 82, 164, 328, 656.
These are the numbers that you can divide 656 by, and they will all result in whole numbers!