Q: What are the factors or divisors of the number 1,644?

 A: 12346121372744115488221644

How do I find the factors or divisors of the number 1,644?

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 1,644, 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 1,644

Next, we take the number 1,644 and divide it by 2.

In this case, 1,644 ÷ 2 = 822

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

1 2 822 1,644

Now, we try dividing 1,644 by 3.

1,644 ÷ 3 = 548

If the quotient is a whole number, then 3 and 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 3 548 822 1,644

Let's try dividing by 4.

1,644 ÷ 4 = 411

If the quotient is a whole number, then 4 and 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 4 411 548 822 1,644

We keep dividing by the next largest number, in this case the number 5. If the quotient of 1,644 ÷ 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:

12346121372744115488221,644

All of the numbers in the table above can be evenly divided into the number 1,644.

Finally, for your reference, here are all of the divisor combinations of the number 1,644:

1 x 1644
2 x 822
3 x 548
4 x 411
6 x 274
12 x 137


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