Divisors of a number are the integers that can divide that number without leaving a remainder. Understanding divisors is helpful in various areas of mathematics, including fractions, simplifying expressions, and finding factors for equations. This article will guide you through the concept of divisors specifically for the number 918, demystifying the process of finding them step-by-step.
To begin, let’s clarify the concept of division. When we divide, we have three important terms: the dividend, the divisor, and the quotient. The dividend is the number we want to divide; the divisor is the number by which we are dividing; and the quotient is the result of the division. For example, in the division problem 918 / 3 = 306, 918 is the dividend, 3 is the divisor, and 306 is the quotient. Here, when we divide 918 by 3, we find that it results in a whole number, which indicates that 3 is one of the divisors of 918.
Now, let’s move on to how we find the divisors of 918. To do this, we will divide 918 by every integer starting from 1 up to 918 itself. Here’s how you can do it, step-by-step:
1. Start with the number 1.
2. Divide 918 by 1, and check the result.
3. Move to the next integer (2), and repeat the process.
4. Continue this until you reach 918.
To make this clearer, here’s a detailed list of the division calculations for 918:
1. 918 / 1 = 918 (whole number)
2. 918 / 2 = 459 (whole number)
3. 918 / 3 = 306 (whole number)
4. 918 / 6 = 153 (whole number)
5. 918 / 9 = 102 (whole number)
6. 918 / 18 = 51 (whole number)
7. 918 / 102 = 9 (whole number)
8. 918 / 153 = 6 (whole number)
9. 918 / 306 = 3 (whole number)
10. 918 / 459 = 2 (whole number)
As we can see, each of these divisions resulted in whole numbers, indicating that all these integers are divisors of 918. If we were to continue, we would reach the number 918, which doesn’t produce any new divisors but serves as the final division.
In conclusion, the complete list of all divisors of 918 is as follows:
– 1
– 2
– 3
– 6
– 9
– 18
– 51
– 102
– 306
– 459
– 918
Divisors play a crucial role in understanding the structure of numbers, and with this guide, you can easily find the divisors of any number yourself!