Q: What are the factors or divisors of the number 27,488?

 A: 124816328591718343668721374427488

How do I find the factors or divisors of the number 27,488?

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 27,488, 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 27,488

Next, we take the number 27,488 and divide it by 2.

In this case, 27,488 ÷ 2 = 13,744

If the quotient is a whole number, then 2 and 13,744 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 13,744 27,488

Now, we try dividing 27,488 by 3.

27,488 ÷ 3 = 9,162.6667

If the quotient is a whole number, then 3 and 9,162.6667 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 13,744 27,488

Let's try dividing by 4.

27,488 ÷ 4 = 6,872

If the quotient is a whole number, then 4 and 6,872 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 6,872 13,744 27,488

We keep dividing by the next largest number, in this case the number 5. If the quotient of 27,488 ÷ 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:

124816328591,7183,4366,87213,74427,488

All of the numbers in the table above can be evenly divided into the number 27,488.

Finally, for your reference, here are all of the divisor combinations of the number 27,488:

1 x 27488
2 x 13744
4 x 6872
8 x 3436
16 x 1718
32 x 859


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