Divisors of a number are the integers that can divide that number without leaving a remainder. For example, if you have a number like 202, some of its divisors will be able to split 202 evenly. This article will help you understand how to find these divisors by using simple division.
To start, let’s explain what happens when you divide one number by another. In the division equation, the number that you want to divide is called the “dividend.” The number you are dividing by is called the “divisor.” The result you get from the division is called the “quotient.”
For example, if we divide 202 by 1, it looks like this:
202 / 1 = 202
Here, 202 is the dividend, 1 is the divisor, and 202 is also the quotient.
Now, let’s find the divisors of 202! We will do this by dividing 202 by every whole number from 1 up to 202. If the result is a whole number (meaning there’s no remainder), then we know that this number is a divisor.
### Step-by-step guide:
1. Start with the number 1 and go all the way up to 202.
2. Divide 202 by each number to see if the result is a whole number.
3. If it is, then that number is one of the divisors of 202.
Let’s perform these calculations:
– 202 / 1 = 202 (Whole number, so 1 is a divisor)
– 202 / 2 = 101 (Whole number, so 2 is a divisor)
– 202 / 3 = 67.33 (Not a whole number, so 3 is not a divisor)
– 202 / 4 = 50.5 (Not a whole number, so 4 is not a divisor)
– 202 / 5 = 40.4 (Not a whole number, so 5 is not a divisor)
– 202 / 6 = 33.67 (Not a whole number, so 6 is not a divisor)
– 202 / 7 = 28.8571428571 (Not a whole number, so 7 is not a divisor)
– 202 / 8 = 25.25 (Not a whole number, so 8 is not a divisor)
– 202 / 9 = 22.4444444444 (Not a whole number, so 9 is not a divisor)
– 202 / 10 = 20.2 (Not a whole number, so 10 is not a divisor)
– 202 / 11 = 18.3636363636 (Not a whole number, so 11 is not a divisor)
– 202 / 101 = 2 (Whole number, so 101 is a divisor)
– 202 / 202 = 1 (Whole number, so 202 is a divisor)
From these calculations, we note which divisions resulted in whole numbers:
– 1
– 2
– 101
– 202
### Conclusion:
In conclusion, the divisors of the number 202 are:
1, 2, 101, 202
These numbers can divide 202 evenly without leaving any remainder. Understanding divisors is a helpful concept in math, and it allows us to explore the relationships between numbers!