Divisibility Checker

Enter a number and a divisor to see if it divides evenly, with the quotient, remainder and rule shown.

Examples:360, 61,001, 7123, 9250, 4

Yes, 360 is divisible by 6. It divides evenly, with a remainder of 0.

Divide and check the remainder

360 ÷ 6 = 60

6 × 60 = 360

Divisibility rule for 6

A number is divisible by 6 if it is divisible by both 2 and 3.

  • 360 is even, so it is divisible by 2.
  • 3 + 6 + 0 = 9, so it is divisible by 3.

What Does Divisible Mean?

A number is divisible by another number when you can divide it and have nothing left over. 360 is divisible by 6 because 360 ÷ 6 = 60 exactly. The leftover is called the remainder, and for a divisible number it is 0.

How to Use This Divisibility Checker

  1. Type the number you want to test into the first box.
  2. Type the divisor into the second box.
  3. Press Calculate to see the answer, the quotient, the remainder and the divisibility rule.

How to Check Divisibility

  1. Divide the number by the divisor.
  2. Look at the remainder.
  3. If the remainder is 0 the number is divisible. If not, it is not.
Handwritten notebook page showing 360 divided by 6 equals 60 with remainder 0, so 360 is divisible by 6
360 ÷ 6 = 60 with remainder 0, so 360 is divisible by 6.

Quick Divisibility Rules

Handwritten notebook page adding the digits of 123 to get 6, which is not a multiple of 9
1 + 2 + 3 = 6, which is not a multiple of 9, so 123 is not divisible by 9.

Worked Examples

Common mistakes

Divisibility Checker FAQs

What does divisible mean?

A number is divisible by another when the division leaves no remainder. 360 is divisible by 6 because 360 ÷ 6 = 60 exactly.

How do you check if a number is divisible by another?

Divide the first number by the second and look at the remainder. If it is 0, the number is divisible. For some divisors a quick digit rule works too.

What is the divisibility rule for 3 and 9?

Add up the digits. If the sum is a multiple of 3, the number is divisible by 3. If the sum is a multiple of 9, it is divisible by 9.

What is the divisibility rule for 4?

A number is divisible by 4 if its last two digits form a number divisible by 4. The last two digits of 250 are 50, and 50 ÷ 4 leaves 2, so 250 is not divisible by 4.

What is the divisibility rule for 6?

A number is divisible by 6 if it is divisible by both 2 and 3. So it must be even and its digits must add to a multiple of 3.

Is 1001 divisible by 7?

Yes. 1001 ÷ 7 = 143 with remainder 0, so 7 is a factor of 1001.

What is the remainder?

The remainder is what is left over after dividing as many whole times as you can. A remainder of 0 means the number divides evenly.

Is divisible the same as being a multiple?

Yes, they say the same thing. If 360 is divisible by 6, then 360 is a multiple of 6, and 6 is a factor of 360.

More Worked Examples

Showing 4 of 4 examples