# Q: What are the factor combinations of the number 56,465?

A:
Positive:   1 x 564655 x 1129323 x 2455115 x 491
Negative: -1 x -56465-5 x -11293-23 x -2455-115 x -491

## How do I find the factor combinations of the number 56,465?

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 divisors of larger numbers. To find the factor combinations of the number 56,465, it is easier to work with a table - it's called factoring from the outside in.

### 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. Then, below that, write the numbers as a negative as well.

 1 56,465 -1 -56,465

#### Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 56,465.

Example:
1 x 56,465 = 56,465
and
-1 x -56,465 = 56,465

With that explanation out of the way, let's continue. Next, we take the number 56,465 and divide it by 2:

56,465 ÷ 2 = 28,232.5

If the quotient is a whole number, then 2 and 28,232.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

 1 56,465 -1 -56,465

Now, we try dividing 56,465 by 3:

56,465 ÷ 3 = 18,821.6667

If the quotient is a whole number, then 3 and 18,821.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

 1 56,465 -1 -56,465

Let's try dividing by 4:

56,465 ÷ 4 = 14,116.25

If the quotient is a whole number, then 4 and 14,116.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

 1 56,465 -1 56,465
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

 1 5 23 115 491 2,455 11,293 56,465 -1 -5 -23 -115 -491 -2,455 -11,293 -56,465

### More Examples

Here are some more numbers to try:

Try the factor calculator

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