Q: What are the factors or divisors of the number 1,044?

 A: 1234691218293658871161742613485221044

How do I find the factors or divisors of the number 1,044?

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 1,044, 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 1,044

Next, we take the number 1,044 and divide it by 2.

In this case, 1,044 ÷ 2 = 522

If the quotient is a whole number, then 2 and 522 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 522 1,044

Now, we try dividing 1,044 by 3.

1,044 ÷ 3 = 348

If the quotient is a whole number, then 3 and 348 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 3 348 522 1,044

Let's try dividing by 4.

1,044 ÷ 4 = 261

If the quotient is a whole number, then 4 and 261 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 4 261 348 522 1,044

We keep dividing by the next largest number, in this case the number 5. If the quotient of 1,044 ÷ 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:

1234691218293658871161742613485221,044

All of the numbers in the table above can be evenly divided into the number 1,044.

Finally, for your reference, here are all of the divisor combinations of the number 1,044:

1 x 10442 x 5223 x 3484 x 2616 x 1749 x 11612 x 8718 x 5829 x 36


More Examples

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