Math Calculators ▶ Divisible Calculator
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This free online divisible calculator will help you to calculate whether a given number is divisible by another number. Use this calculator to perform the division process and let you know whether the numerator is divisible by the denominator completely or not with the assistance of this divisibility calculator.
In mathematics, the divisible number is defined as:
“A number is said to be divisible by another number if it can be divided by that number”
Division rules or methods generally help to check whether a given number is divisible by another number without using the actual division method. Let’s find how!
Go through the below article to know division rules from 1 to 13 in Maths that are explained with many solved examples. These are:
“Every number is divisible by 1 since this rule doesn’t have any condition”
5 is divisible by 1 and 5000 is also divisible by 1 thoroughly.
“If a number is entirely even or a number whose last digit includes an even number such as 0, 2, 4, 6, 8, 866, 678, then It is divisible by 2 completely”
708 has an even number therefore it is divisible by 2 but 709 is not an even number and is not divisible by 2.
“According to this rule, a number is divisible by 3 if the sum of its digits equal to the multiple of 3”
Consider a number, 308. To check whether the given number is divisible by 3 or not, firstly take the sum of the digits (i.e. 3+0+8= 11). If the sum of the given number is a multiple of 3, then we can say the original number is divisible by 3. Here, 11 is not a multiple of 3 therefore 308 is also not divisible by 3.
Likewise, 555 is always divisible by 3 completely as the sum of its digits i.e. 5+5+5=15 which is a multiple of 3.
However, you can verify the above example by using our online divisible calculator.
“If the last two digits of a given number are multiple of 4 then we can say that it is divisible by 4 completely”
Take the number 2308. Since the last two digits of a given i.e. 08 is a multiple of 4. Hence, the original number 2308 is divisible by 4.
“Those numbers in which the last digits have 0 or 5 are divisible by 5 completely”
10, 10000, 10000005, 595, 396524850, and more are always divisible by 5 completely since the last digits have 0 or 5.
“The multiple of 2 and 3 are always divisible by 6. If the last digit of the number is even and the sum of its digits is a multiple of 3, then the given number is also divisible by 6”
Consider a number 630, the given number is divisible by 2 as the last digit is 0.
And, the sum of digits of a given number is 6+3+0 = 9, which is also divisible by 3.
Thus, 630 is divisible by 6.
The divisibility rule for 7 is a bit complicated. Follow the steps to understand this rule and is given as:
Besides, our online divisibility rules calculator will help you to clarify the above example once you enter the parameters.
Is 1073 divisible by 7?
According to the rule, first remove 3 from the number and double this number, it becomes 6.
Then, the remaining becomes 107, so 107-6 = 101.
Repeating the process again one or more times, you have 1 x 2 = 2.
The given remaining number 10 – 2 = 8.
As 8 is not divisible by 7, therefore the number 1073 is not divisible by 7.
“If the last three digits of a number are multiple of 8, then the given number is divisible by 8”
Consider the number 24344. Since the last three digits are. 344. The given number is divisible by 8, therefore the original number 24344 is divisible by 8.
“If the sum of the digits of a given number is multiple of 9, then the number itself is called divisible by 9”
Take the number 78532, as the sum of its digits (7+8+5+3+2=25), which is not divisible by 9, so 78532 is not divisible by 9.
“According to this rule, any number whose last digit has 0, is always divisible by 10”.
10, 20, 30, 1000, 5000, 60000, etc are divisible by 10
“Whether the difference of the sum of substitute digits of a given number and that number is divisible by 11 thoroughly”
In order to review whether a number like 2143 is divisible by 11 or not, below is the procedure. These are:
“If the given number is divisible by both 3 and 4, then the original number is divisible by 12 completely”
Consider the number 5864
Sum of the digits = 5 + 8 + 6 + 4 = 23 since the given value is not a multiple of 3
On the other hand, the last two digits = 64 which is divisible by 4
The number 5846 is divisible by 4 but not by 3; therefore, it is not divisible by 12.
“Whether you want to check if the given number is divisible by 13, you have to add four times the last digit of the number to the remaining number, and the process repeats until you get a two-digit number”
2795 → 279 + (5 x 4)
= 279 + (20)
= 29 + (9 x 4)
= 29 + 36
Number 65 is divisible by 13, 13 x 5 = 65.
Since we described all the divisible rules above and these are followed by our divisibility calculator to perform calculations accurately.
In this table, we have discussed the most widely used divider with the corresponding dividend. These are given as:
|2||2, 4, 6, 8,10,12,14, 16…|
|3||3, 6, 9, 12, 15, 18, 21…|
|4||4, 8, 12, 16, 20, 24, 28…|
|5||5, 10, 15, 20, 25, 30…|
|6||6, 12, 18, 24, 30, 36, 42…|
|7||7, 14, 21, 28, 35, 42, 49…|
|8||8, 16, 24, 32, 40, 48, 56…|
|9||9, 18, 27, 36, 45, 63…|
|10||10, 20, 30, 1000, 5000…|
Also, you can use our online divisible calculator to calculate a divider to the corresponding dividend to make calculations quickly.
Check if the number 298 is divisible by 2.
The given number is 288
According to the divisible rule of 2, if the last digit of 288 is a multiple of 2, then 288 is divisible by 2.
The last digit of the given number is 8, which is divisible by 2, such that:
8/2 = 4
Therefore, 288 is followed by the divisibility rule for 2.
Check if 185 is divisible by 4 or not.
Since the last digit of 185 is 5, which is not divisible by 4.
Therefore, 185 is not divisible by 4.
This online divisible calculator is a fast and reliable way to perform calculations in a couple of steps. Just enter the following input parameters to obtain the result easily and quickly.
This divisibility calculator determines the following results:
An easy way to determine whether the given number is divided by a fixed divisor without performing the division process.
Yes, since 18 is a multiple of 3, therefore 18 is divisible by 3. The number 18 is also a multiple of other numbers i.e., 2, 6, and 9
No, 6 is not a divisor of 4, that’s why we can say that 6 is not divisible by 4. You can also check it by using our best divisible calculator.
Generally, a divisibility rule is a simple and useful way to determine whether a given integer is divisible by a fixed divisor or not without performing actual division by examining its digits. Moreover, you can make such calculations by using our online divisible calculator.
From the source of Wikipedia: Divisibility rule, Divisibility rules for numbers,
From the source of Khan academy: Divisibility tests for 2, 3, 4, 5, 6, 9, 10