How do I find the factors or divisors of the number 26,964?

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 26,964, 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 26,964

Next, we take the number 26,964 and divide it by 2.

In this case, 26,964 ÷ 2 = 13,482

If the quotient is a whole number, then 2 and 13,482 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 13,482 26,964

Now, we try dividing 26,964 by 3.

26,964 ÷ 3 = 8,988

If the quotient is a whole number, then 3 and 8,988 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 8,988 13,482 26,964

Let's try dividing by 4.

26,964 ÷ 4 = 6,741

If the quotient is a whole number, then 4 and 6,741 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 6,741 8,988 13,482 26,964

We keep dividing by the next largest number, in this case the number 5. If the quotient of 26,964 ÷ 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:

12346791214182128364263841071262142523214286427499631,2841,4981,9262,2472,9963,8524,4946,7418,98813,48226,964

All of the numbers in the table above can be evenly divided into the number 26,964.

Finally, for your reference, here are all of the divisor combinations of the number 26,964:

1 x 269642 x 134823 x 89884 x 67416 x 44947 x 38529 x 299612 x 224714 x 192618 x 149821 x 128428 x 96336 x 74942 x 64263 x 42884 x 321107 x 252126 x 214


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