Q: What are the factors or divisors of the number 496?

 A: 1248163162124248496

How do I find the factors or divisors of the number 496?

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 496, 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.

1 496

Next, we take the number 496 and divide it by 2.

In this case, 496 ÷ 2 = 248

If the quotient is a whole number, then 2 and 248 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 248 496

Now, we try dividing 496 by 3.

496 ÷ 3 = 165.3333

If the quotient is a whole number, then 3 and 165.3333 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 2 248 496

Let's try dividing by 4.

496 ÷ 4 = 124

If the quotient is a whole number, then 4 and 124 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 4 124 248 496

We keep dividing by the next largest number, in this case the number 5. If the quotient of 496 ÷ 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:

1248163162124248496

All of the numbers in the table above can be evenly divided into the number 496.

Finally, for your reference, here are all of the divisor combinations of the number 496:

1 x 496
2 x 248
4 x 124
8 x 62
16 x 31


More Examples

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