Q: What are the factor combinations of the number 12,017,155?

 A:
Positive:   1 x 120171555 x 240343123 x 52248583 x 144785115 x 104497415 x 289571259 x 95451909 x 6295
Negative: -1 x -12017155-5 x -2403431-23 x -522485-83 x -144785-115 x -104497-415 x -28957-1259 x -9545-1909 x -6295


How do I find the factor combinations of the number 12,017,155?

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 12,017,155, 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 12,017,155
-1 -12,017,155

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 12,017,155.

Example:
1 x 12,017,155 = 12,017,155
and
-1 x -12,017,155 = 12,017,155
Notice both answers equal 12,017,155

With that explanation out of the way, let's continue. Next, we take the number 12,017,155 and divide it by 2:

12,017,155 ÷ 2 = 6,008,577.5

If the quotient is a whole number, then 2 and 6,008,577.5 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 12,017,155
-1 -12,017,155

Now, we try dividing 12,017,155 by 3:

12,017,155 ÷ 3 = 4,005,718.3333

If the quotient is a whole number, then 3 and 4,005,718.3333 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 12,017,155
-1 -12,017,155

Let's try dividing by 4:

12,017,155 ÷ 4 = 3,004,288.75

If the quotient is a whole number, then 4 and 3,004,288.75 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 12,017,155
-1 12,017,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1523831154151,2591,9096,2959,54528,957104,497144,785522,4852,403,43112,017,155
-1-5-23-83-115-415-1,259-1,909-6,295-9,545-28,957-104,497-144,785-522,485-2,403,431-12,017,155

More Examples

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