Q: What are the factors or divisors of the number 66,988?

 A: 124167473349466988

How do I find the factors or divisors of the number 66,988?

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 66,988, 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 66,988

Next, we take the number 66,988 and divide it by 2.

In this case, 66,988 ÷ 2 = 33,494

If the quotient is a whole number, then 2 and 33,494 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 33,494 66,988

Now, we try dividing 66,988 by 3.

66,988 ÷ 3 = 22,329.3333

If the quotient is a whole number, then 3 and 22,329.3333 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 33,494 66,988

Let's try dividing by 4.

66,988 ÷ 4 = 16,747

If the quotient is a whole number, then 4 and 16,747 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 16,747 33,494 66,988

We keep dividing by the next largest number, in this case the number 5. If the quotient of 66,988 ÷ 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:

12416,74733,49466,988

All of the numbers in the table above can be evenly divided into the number 66,988.

Finally, for your reference, here are all of the divisor combinations of the number 66,988:

1 x 66988
2 x 33494
4 x 16747


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