# Q: What are the factor combinations of the number 1,234,569?

A:
Positive:   1 x 12345693 x 4115237 x 17636721 x 58789
Negative: -1 x -1234569-3 x -411523-7 x -176367-21 x -58789

## How do I find the factor combinations of the number 1,234,569?

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 1,234,569, 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 1,234,569 -1 -1,234,569

#### 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 1,234,569.

Example:
1 x 1,234,569 = 1,234,569
and
-1 x -1,234,569 = 1,234,569

With that explanation out of the way, let's continue. Next, we take the number 1,234,569 and divide it by 2:

1,234,569 ÷ 2 = 617,284.5

If the quotient is a whole number, then 2 and 617,284.5 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 1,234,569 -1 -1,234,569

Now, we try dividing 1,234,569 by 3:

1,234,569 ÷ 3 = 411,523

If the quotient is a whole number, then 3 and 411,523 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

 1 3 411,523 1,234,569 -1 -3 -411,523 -1,234,569

Let's try dividing by 4:

1,234,569 ÷ 4 = 308,642.25

If the quotient is a whole number, then 4 and 308,642.25 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 3 411,523 1,234,569 -1 -3 -411,523 1,234,569
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 3 7 21 58,789 176,367 411,523 1,234,569 -1 -3 -7 -21 -58,789 -176,367 -411,523 -1,234,569

### More Examples

Here are some more numbers to try:

Try the factor calculator

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