# Q: What are the factor combinations of the number 313,243,432?

A:
Positive:   1 x 3132434322 x 1566217164 x 783108588 x 39155429557 x 5623761114 x 2811882228 x 1405944456 x 70297
Negative: -1 x -313243432-2 x -156621716-4 x -78310858-8 x -39155429-557 x -562376-1114 x -281188-2228 x -140594-4456 x -70297

## How do I find the factor combinations of the number 313,243,432?

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 313,243,432, 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.

 1 313,243,432 -1 -313,243,432

#### 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 313,243,432.

Example:
1 x 313,243,432 = 313,243,432
and
-1 x -313,243,432 = 313,243,432

With that explanation out of the way, let's continue. Next, we take the number 313,243,432 and divide it by 2:

313,243,432 ÷ 2 = 156,621,716

If the quotient is a whole number, then 2 and 156,621,716 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 2 156,621,716 313,243,432 -1 -2 -156,621,716 -313,243,432

Now, we try dividing 313,243,432 by 3:

313,243,432 ÷ 3 = 104,414,477.3333

If the quotient is a whole number, then 3 and 104,414,477.3333 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 2 156,621,716 313,243,432 -1 -2 -156,621,716 -313,243,432

Let's try dividing by 4:

313,243,432 ÷ 4 = 78,310,858

If the quotient is a whole number, then 4 and 78,310,858 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 2 4 78,310,858 156,621,716 313,243,432 -1 -2 -4 -78,310,858 -156,621,716 313,243,432
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 2 4 8 557 1,114 2,228 4,456 70,297 140,594 281,188 562,376 39,155,429 78,310,858 156,621,716 313,243,432 -1 -2 -4 -8 -557 -1,114 -2,228 -4,456 -70,297 -140,594 -281,188 -562,376 -39,155,429 -78,310,858 -156,621,716 -313,243,432

### More Examples

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Try the factor calculator

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