Q: What are the factors or divisors of the number 1,188?

 A: 12346911121822273336445466991081321982973965941188

How do I find the factors or divisors of the number 1,188?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers. To find the factors of the number 1,188, it is easiest to start from the outside in. Here's what we mean:

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1 1,188

Next, we take the number 1,188 and divide it by 2.

In this case, 1,188 ÷ 2 = 594

If the quotient is a whole number, then 2 and 594 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 594 1,188

Now, we try dividing 1,188 by 3.

1,188 ÷ 3 = 396

If the quotient is a whole number, then 3 and 396 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 396 594 1,188

Let's try dividing by 4.

1,188 ÷ 4 = 297

If the quotient is a whole number, then 4 and 297 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 4 297 396 594 1,188

We keep dividing by the next largest number, in this case the number 5. If the quotient of 1,188 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.


Keep dividing by the next highest number until you cannot divide anymore.


What you will end up with is this table:

12346911121822273336445466991081321982973965941,188

All of the numbers in the table above can be evenly divided into the number 1,188.

Finally, for your reference, here are all of the divisor combinations of the number 1,188:

1 x 11882 x 5943 x 3964 x 2976 x 1989 x 13211 x 10812 x 9918 x 6622 x 5427 x 4433 x 36


More Examples

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