**What is a divisor?**

A Divisor is a number that can divide another number without remainders. An integer **q **(greater than zero) is a divisor of **r **if the result **s** has no decimals. This means that when you multiply **q** and **s, **the result will be **r**. A divisor has to be greater than zero because any number divided by zero is zero. Therefore, the divisors of **21006 **are the numbers that can divide **21006** without a remainder.

**How to calculate the divisors of 21006
**

Let us look at how to find the Divisors of **21006**. To find the Divisors of **21006,** you need to divide it by all the integers equal or less than **21006 **but greater than zero. We already know that **21006** is a divisor of itself because when you divide **21006** and **21006, **you will get **1.** If any number results in a number with a remainder, we will ignore it.

**21006****÷ 1 = 21006
**

**21006 ÷ 2 = 10503
**

**21006 ÷ 3 = 7002
**

**21006 ÷ 4 = 5251.5
**

**21006 ÷ 5 = 4201.2
**

**and so on until 21006 ÷ 21006 = 1**

After dividing all the numbers, select only the numbers without a remainder.

**The Divisors of 21006 are:
**

**1, 2, 3, 6, 9, 18, 27, 54, 389, 778, 1167, 2334, 3501, 7002, 10503, 21006
**

**Important terms in division**

Division refers to the process of splitting groups equally. You need to understand four terms in the division. These terms are Dividend, Divisor, Remainder, and Quotient.

**Dividend**– This refers to a number being divided.

**Divisor** – This is the number that the dividend is being divided within a formula

**Quotient**– This is the result you get after dividing the dividend with the divisor.

**Remainder**– This refers to the remaining values if the divisor cannot divide the divinded evenly.

**Divisors Tips
**

- 1 is a divisor of every number greater than 0
- For all perfect squares such as 64, the number of divisors will be an odd number. Conversely, if it’s not a perfect square, then the number of divisors will be an even number
- If the dividend and quotient are equal, then the divisor is always 1
- If the dividend and divisor are equal, then the quotient is always 1
- If the Remainder is greater than 0, then Divisor= (Dividend-Remainder)
- The divisor is always greater than the Remainder
- If the dividend is smaller than the divisor, then the result will be a decimal
- The Remainder can be less, equal, or greater to the quotient

**Check the Divisors of another Number
**

**
Divisors calculator
**