Q: What are the factors or divisors of the number 13,644?

 A: 12346912183637975811371516227434114548682213644

How do I find the factors or divisors of the number 13,644?

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 13,644, 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 13,644

Next, we take the number 13,644 and divide it by 2.

In this case, 13,644 ÷ 2 = 6,822

If the quotient is a whole number, then 2 and 6,822 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 6,822 13,644

Now, we try dividing 13,644 by 3.

13,644 ÷ 3 = 4,548

If the quotient is a whole number, then 3 and 4,548 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 4,548 6,822 13,644

Let's try dividing by 4.

13,644 ÷ 4 = 3,411

If the quotient is a whole number, then 4 and 3,411 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 3,411 4,548 6,822 13,644

We keep dividing by the next largest number, in this case the number 5. If the quotient of 13,644 ÷ 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:

1234691218363797581,1371,5162,2743,4114,5486,82213,644

All of the numbers in the table above can be evenly divided into the number 13,644.

Finally, for your reference, here are all of the divisor combinations of the number 13,644:

1 x 136442 x 68223 x 45484 x 34116 x 22749 x 151612 x 113718 x 75836 x 379


More Examples

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