Q: What are the factors or divisors of the number 990?

 A: 123569101115182230334555669099110165198330495990

How do I find the factors or divisors of the number 990?

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 990, 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.

1 990

Next, we take the number 990 and divide it by 2.

In this case, 990 ÷ 2 = 495

If the quotient is a whole number, then 2 and 495 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 495 990

Now, we try dividing 990 by 3.

990 ÷ 3 = 330

If the quotient is a whole number, then 3 and 330 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 3 330 495 990

Let's try dividing by 4.

990 ÷ 4 = 247.5

If the quotient is a whole number, then 4 and 247.5 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 3 330 495 990

We keep dividing by the next largest number, in this case the number 5. If the quotient of 990 ÷ 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:

123569101115182230334555669099110165198330495990

All of the numbers in the table above can be evenly divided into the number 990.

Finally, for your reference, here are all of the divisor combinations of the number 990:

1 x 9902 x 4953 x 3305 x 1986 x 1659 x 11010 x 9911 x 9015 x 6618 x 5522 x 4530 x 33


More Examples

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