Q: What are the factor combinations of the number 12,000,113?

 A:
Positive:   1 x 1200011317 x 70588929 x 413797101 x 118813241 x 49793493 x 243411717 x 69892929 x 4097
Negative: -1 x -12000113-17 x -705889-29 x -413797-101 x -118813-241 x -49793-493 x -24341-1717 x -6989-2929 x -4097


How do I find the factor combinations of the number 12,000,113?

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 12,000,113, 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 12,000,113
-1 -12,000,113

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 12,000,113.

Example:
1 x 12,000,113 = 12,000,113
and
-1 x -12,000,113 = 12,000,113
Notice both answers equal 12,000,113

With that explanation out of the way, let's continue. Next, we take the number 12,000,113 and divide it by 2:

12,000,113 ÷ 2 = 6,000,056.5

If the quotient is a whole number, then 2 and 6,000,056.5 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 12,000,113
-1 -12,000,113

Now, we try dividing 12,000,113 by 3:

12,000,113 ÷ 3 = 4,000,037.6667

If the quotient is a whole number, then 3 and 4,000,037.6667 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 12,000,113
-1 -12,000,113

Let's try dividing by 4:

12,000,113 ÷ 4 = 3,000,028.25

If the quotient is a whole number, then 4 and 3,000,028.25 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 12,000,113
-1 12,000,113
Keep dividing by the next highest number until you cannot divide anymore.

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

117291012414931,7172,9294,0976,98924,34149,793118,813413,797705,88912,000,113
-1-17-29-101-241-493-1,717-2,929-4,097-6,989-24,341-49,793-118,813-413,797-705,889-12,000,113

More Examples

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