Q: What are the factor combinations of the number 12,019,153?

 A:
Positive:   1 x 1201915317 x 70700919 x 632587127 x 94639293 x 41021323 x 372112159 x 55672413 x 4981
Negative: -1 x -12019153-17 x -707009-19 x -632587-127 x -94639-293 x -41021-323 x -37211-2159 x -5567-2413 x -4981


How do I find the factor combinations of the number 12,019,153?

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 12,019,153, 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 12,019,153
-1 -12,019,153

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 12,019,153.

Example:
1 x 12,019,153 = 12,019,153
and
-1 x -12,019,153 = 12,019,153
Notice both answers equal 12,019,153

With that explanation out of the way, let's continue. Next, we take the number 12,019,153 and divide it by 2:

12,019,153 ÷ 2 = 6,009,576.5

If the quotient is a whole number, then 2 and 6,009,576.5 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 12,019,153
-1 -12,019,153

Now, we try dividing 12,019,153 by 3:

12,019,153 ÷ 3 = 4,006,384.3333

If the quotient is a whole number, then 3 and 4,006,384.3333 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 12,019,153
-1 -12,019,153

Let's try dividing by 4:

12,019,153 ÷ 4 = 3,004,788.25

If the quotient is a whole number, then 4 and 3,004,788.25 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 12,019,153
-1 12,019,153
Keep dividing by the next highest number until you cannot divide anymore.

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

117191272933232,1592,4134,9815,56737,21141,02194,639632,587707,00912,019,153
-1-17-19-127-293-323-2,159-2,413-4,981-5,567-37,211-41,021-94,639-632,587-707,009-12,019,153

More Examples

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