How do I find the factors or divisors of the number 40,964?

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 40,964, 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 40,964

Next, we take the number 40,964 and divide it by 2.

In this case, 40,964 ÷ 2 = 20,482

If the quotient is a whole number, then 2 and 20,482 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 20,482 40,964

Now, we try dividing 40,964 by 3.

40,964 ÷ 3 = 13,654.6667

If the quotient is a whole number, then 3 and 13,654.6667 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 20,482 40,964

Let's try dividing by 4.

40,964 ÷ 4 = 10,241

If the quotient is a whole number, then 4 and 10,241 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 4 10,241 20,482 40,964

We keep dividing by the next largest number, in this case the number 5. If the quotient of 40,964 ÷ 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:

124711141922283844497677981331541962092663084185325398369311,0781,4631,8622,1562,9263,7245,85210,24120,48240,964

All of the numbers in the table above can be evenly divided into the number 40,964.

Finally, for your reference, here are all of the divisor combinations of the number 40,964:

1 x 409642 x 204824 x 102417 x 585211 x 372414 x 292619 x 215622 x 186228 x 146338 x 107844 x 93149 x 83676 x 53977 x 53298 x 418133 x 308154 x 266196 x 209


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