Maths

Divisors of 4

by Staff Writer
3 min read

Divisors of a number are the integers that can divide that number without leaving any remainder. In simpler terms, if you can divide a number by another number and get a whole number as a result, then that other number is a divisor. Understanding divisors helps in many areas of math, including simplifying fractions, finding factors, and solving problems related to ratios. This article will explore how to find the divisors of the number 4 step by step.

Understanding Division

First, let’s break down the concept of division. In a division problem, we have three important terms:

  • Dividend: This is the number you want to divide.
  • Divisor: This is the number you are dividing by.
  • Quotient: This is the result of the division.

For example, if we look at dividing 4 by 2, it can be written like this:

4 / 2 = 2

In this case:

  • The dividend is 4.
  • The divisor is 2.
  • The quotient is 2.

How to Calculate the Divisors of 4

To find the divisors of 4, you will divide 4 by every integer starting from 1 up to the number itself (which is 4 in this case). Let’s go through the steps:

  1. Start with the number 1 up to 4.
  2. For each number, divide 4 by that number.
  3. Check if the result is a whole number (there’s no remainder).

Division Calculations

Now, we will perform the division for every integer from 1 to 4:

  1. 4 / 1 = 4

    • Quotient: 4 (whole number, so 1 is a divisor)

  2. 4 / 2 = 2

    • Quotient: 2 (whole number, so 2 is a divisor)

  3. 4 / 3 = 1.33 (approx)

    • Quotient: 1.33 (not a whole number, so 3 is NOT a divisor)
  4. 4 / 4 = 1
    • Quotient: 1 (whole number, so 4 is a divisor)
See also  Divisors of 21

From the calculations above, we can see that we have three divisors: 1, 2, and 4.

List of Divisors

Here, we summarize our findings in a neat format:

  • Divisor: 1 (4 / 1 = 4)
  • Divisor: 2 (4 / 2 = 2)
  • Divisor: 3 (4 / 3 = 1.33 – not a divisor)
  • Divisor: 4 (4 / 4 = 1)

Conclusion

The divisors of the number 4 are:

1, 2, 4

These are the numbers that can divide 4 evenly, meaning when you divide 4 by each of them, you get a whole number as the result. Understanding divisors is essential in many mathematical concepts, and this step-by-step guide makes it easy to find them!

You may also like