Q: What are the factors or divisors of the number 848?

 A: 12481653106212424848

How do I find the factors or divisors of the number 848?

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 848, 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.

1 848

Next, we take the number 848 and divide it by 2.

In this case, 848 ÷ 2 = 424

If the quotient is a whole number, then 2 and 424 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 424 848

Now, we try dividing 848 by 3.

848 ÷ 3 = 282.6667

If the quotient is a whole number, then 3 and 282.6667 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 2 424 848

Let's try dividing by 4.

848 ÷ 4 = 212

If the quotient is a whole number, then 4 and 212 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 4 212 424 848

We keep dividing by the next largest number, in this case the number 5. If the quotient of 848 ÷ 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:

12481653106212424848

All of the numbers in the table above can be evenly divided into the number 848.

Finally, for your reference, here are all of the divisor combinations of the number 848:

1 x 848
2 x 424
4 x 212
8 x 106
16 x 53


More Examples

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