Q: What are the factors or divisors of the number 988?

 A: 124131926385276247494988

How do I find the factors or divisors of the number 988?

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 988, 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.

1 988

Next, we take the number 988 and divide it by 2.

In this case, 988 ÷ 2 = 494

If the quotient is a whole number, then 2 and 494 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 494 988

Now, we try dividing 988 by 3.

988 ÷ 3 = 329.3333

If the quotient is a whole number, then 3 and 329.3333 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 2 494 988

Let's try dividing by 4.

988 ÷ 4 = 247

If the quotient is a whole number, then 4 and 247 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 4 247 494 988

We keep dividing by the next largest number, in this case the number 5. If the quotient of 988 ÷ 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:

124131926385276247494988

All of the numbers in the table above can be evenly divided into the number 988.

Finally, for your reference, here are all of the divisor combinations of the number 988:

1 x 988
2 x 494
4 x 247
13 x 76
19 x 52
26 x 38


More Examples

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