Q: What are the factor combinations of the number 12,313,345?

 A:
Positive:   1 x 123133455 x 246266911 x 111939555 x 223879131 x 93995655 x 187991441 x 85451709 x 7205
Negative: -1 x -12313345-5 x -2462669-11 x -1119395-55 x -223879-131 x -93995-655 x -18799-1441 x -8545-1709 x -7205


How do I find the factor combinations of the number 12,313,345?

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 12,313,345, 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 12,313,345
-1 -12,313,345

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 12,313,345.

Example:
1 x 12,313,345 = 12,313,345
and
-1 x -12,313,345 = 12,313,345
Notice both answers equal 12,313,345

With that explanation out of the way, let's continue. Next, we take the number 12,313,345 and divide it by 2:

12,313,345 ÷ 2 = 6,156,672.5

If the quotient is a whole number, then 2 and 6,156,672.5 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 12,313,345
-1 -12,313,345

Now, we try dividing 12,313,345 by 3:

12,313,345 ÷ 3 = 4,104,448.3333

If the quotient is a whole number, then 3 and 4,104,448.3333 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 12,313,345
-1 -12,313,345

Let's try dividing by 4:

12,313,345 ÷ 4 = 3,078,336.25

If the quotient is a whole number, then 4 and 3,078,336.25 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 12,313,345
-1 12,313,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551316551,4411,7097,2058,54518,79993,995223,8791,119,3952,462,66912,313,345
-1-5-11-55-131-655-1,441-1,709-7,205-8,545-18,799-93,995-223,879-1,119,395-2,462,669-12,313,345

More Examples

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