Q: What are the factors or divisors of the number 10,980?

 A: 12345691012151820303645606190122180183244305366549610732915109812201830219627453660549010980

How do I find the factors or divisors of the number 10,980?

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 10,980, 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 10,980

Next, we take the number 10,980 and divide it by 2.

In this case, 10,980 ÷ 2 = 5,490

If the quotient is a whole number, then 2 and 5,490 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 5,490 10,980

Now, we try dividing 10,980 by 3.

10,980 ÷ 3 = 3,660

If the quotient is a whole number, then 3 and 3,660 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 3,660 5,490 10,980

Let's try dividing by 4.

10,980 ÷ 4 = 2,745

If the quotient is a whole number, then 4 and 2,745 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 2,745 3,660 5,490 10,980

We keep dividing by the next largest number, in this case the number 5. If the quotient of 10,980 ÷ 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:

123456910121518203036456061901221801832443053665496107329151,0981,2201,8302,1962,7453,6605,49010,980

All of the numbers in the table above can be evenly divided into the number 10,980.

Finally, for your reference, here are all of the divisor combinations of the number 10,980:

1 x 109802 x 54903 x 36604 x 27455 x 21966 x 18309 x 122010 x 109812 x 91515 x 73218 x 61020 x 54930 x 36636 x 30545 x 24460 x 18361 x 18090 x 122


More Examples

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