Q: What are the factors or divisors of the number 240?

 A: 12345681012151620243040486080120240

How do I find the factors or divisors of the number 240?

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 240, 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.

1 240

Next, we take the number 240 and divide it by 2.

In this case, 240 ÷ 2 = 120

If the quotient is a whole number, then 2 and 120 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 120 240

Now, we try dividing 240 by 3.

240 ÷ 3 = 80

If the quotient is a whole number, then 3 and 80 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 80 120 240

Let's try dividing by 4.

240 ÷ 4 = 60

If the quotient is a whole number, then 4 and 60 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 60 80 120 240

We keep dividing by the next largest number, in this case the number 5. If the quotient of 240 ÷ 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:

12345681012151620243040486080120240

All of the numbers in the table above can be evenly divided into the number 240.

Finally, for your reference, here are all of the divisor combinations of the number 240:

1 x 2402 x 1203 x 804 x 605 x 486 x 408 x 3010 x 2412 x 2015 x 16


More Examples

Here are some more numbers to try:

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