Q: What are the factor combinations of the number 12,500,155?

 A:
Positive:   1 x 125001555 x 250003123 x 54348573 x 171235115 x 108697365 x 342471489 x 83951679 x 7445
Negative: -1 x -12500155-5 x -2500031-23 x -543485-73 x -171235-115 x -108697-365 x -34247-1489 x -8395-1679 x -7445


How do I find the factor combinations of the number 12,500,155?

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 12,500,155, 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 12,500,155
-1 -12,500,155

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 12,500,155.

Example:
1 x 12,500,155 = 12,500,155
and
-1 x -12,500,155 = 12,500,155
Notice both answers equal 12,500,155

With that explanation out of the way, let's continue. Next, we take the number 12,500,155 and divide it by 2:

12,500,155 ÷ 2 = 6,250,077.5

If the quotient is a whole number, then 2 and 6,250,077.5 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 12,500,155
-1 -12,500,155

Now, we try dividing 12,500,155 by 3:

12,500,155 ÷ 3 = 4,166,718.3333

If the quotient is a whole number, then 3 and 4,166,718.3333 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 12,500,155
-1 -12,500,155

Let's try dividing by 4:

12,500,155 ÷ 4 = 3,125,038.75

If the quotient is a whole number, then 4 and 3,125,038.75 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 12,500,155
-1 12,500,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1523731153651,4891,6797,4458,39534,247108,697171,235543,4852,500,03112,500,155
-1-5-23-73-115-365-1,489-1,679-7,445-8,395-34,247-108,697-171,235-543,485-2,500,031-12,500,155

More Examples

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