Q: What are the factors or divisors of the number 996?

 A: 123461283166249332498996

How do I find the factors or divisors of the number 996?

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 996, 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.

1 996

Next, we take the number 996 and divide it by 2.

In this case, 996 ÷ 2 = 498

If the quotient is a whole number, then 2 and 498 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 498 996

Now, we try dividing 996 by 3.

996 ÷ 3 = 332

If the quotient is a whole number, then 3 and 332 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 3 332 498 996

Let's try dividing by 4.

996 ÷ 4 = 249

If the quotient is a whole number, then 4 and 249 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 4 249 332 498 996

We keep dividing by the next largest number, in this case the number 5. If the quotient of 996 ÷ 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:

123461283166249332498996

All of the numbers in the table above can be evenly divided into the number 996.

Finally, for your reference, here are all of the divisor combinations of the number 996:

1 x 996
2 x 498
3 x 332
4 x 249
6 x 166
12 x 83


More Examples

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